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All what you have explain here is acceptable but I still don't believe that some one who is poor can do well with his Bitcoin investment or hodl for long without selling them off because I don't see how a poor man who bearly feed well can handle Bitcoin investment because he or she will definitely sell off or kick off the game when challenges may accur, like if what I understand by been poor is what you meant, a struggling man can't be able to accumulate Bitcoin and hodl for long because family challenges will be there personal needs will also arise unless such poor person has been making saves for long for his discretionary income and emergency fund and also a strong source of income before he can be able to accumulate Bitcoin and HODL for long.
Many poor people have changed their fate with bitcoin and that is a fact, not just words. Poor here may not be without income, but they are people who have income without more wealth. They set aside their income to invest in their brains to gain knowledge and then skills, this makes them grow and develop until they are able to continuously produce bitcoins through various means.
Getting bitcoins and accumulating them can not only be done by investing, but you can still get them in several ways. You've probably heard of airdrops and bounties, then signature campaign, then various skill contests and others. They can even offer their services to produce bitcoins which are then accumulated into lots. This is the success of a poor man from bitcoin, so it is not solely because he invested money to get it.
A poor person struggles through various situations and constantly seeks sympathy for being lucky. But he keeps trying to get rid of poverty and in the end he loses control of himself by getting overwhelmed by failed emotions. Due to lack of proper knowledge education, one gets immersed in difficult situations. But I think that the poor person is constantly earning to protect his family, if someone teaches him the right direction or gets good advice from someone, then maybe he can get rid of this curse of poverty. He can also participate in Bitcoin investment and can write his name in the list of rich people. He can invest a part of his daily income, let's say his daily income is $ 5 dollars, he can invest $ 2 dollars in Bitcoin from there and by investing in this way, he can become rich by getting a high return during the good season of Bitcoin, this is true and real.
Your ideas of poor and rich seem a bit perverted, since there are all kinds of variations in terms of starting points and the various ways that a person might be rich or poor depending on what kind of resources that he has available and then his abilities to manage the resources to his advantage or not.
An overwhelming majority of poor people may well be struggling to live within their means, which surely will mean that they have little to no discretionary income, so even if they build good habits in order to increase their discretionary income by increasing their income and/or cutting their expenses, it could still take them 20-30 years or more to work themselves into a position of not being poor... yet at the same time, they may well need to continue to make sure that they have discretionary income and to invest their income in to bitcoin and to manage that they have an emergency fund and other back up funds in order to continue to build their bitcoin stack size, and surely for some people the building of the stack will take longer than others, depending on if they can continue to invest into the bitcoin and to not withdraw from it (or spend it) so that it can compound in value, yet even the compounding in value is not going to help them very much if they are starting with a relatively small amount and if they are not continuing, ongoingly, persistently and consistently putting value into the bitcoin as much as they are able to do without overdoing it.
So, even the movement from being poor to being rich is a process in which it might not even be clear, and really if a person ends up continuing to invest into bitcoin, it is likely that his system of building back up funds is going to get larger and larger, so he will have money that he can spend on whatever he wants, yet part of the ongoing secret to building the wealth and continuing to build is to live within his means in such a way that he keeps building his bitcoin stash and the more value that he is able to get into the bitcoin stash, then the more likely the bitcoin stash will compound, and it could take several cycles before he really moves from being poor to rich, yet having various stages and signs of progress within the passage of time, and sometimes potentially even questioning how much progress that he is making... but to keep building his bitcoin stash, while the value of the bitcoin may well go up and down a lot and have a lot of extreme changes in value while he continues to buy it, build it, learn about it, improve his various techniques, and hopefully also secure it in meaningful ways.
You are right, as a poor person the process of building one's Bitcoin investment will take more time than expected especially when he has no emergency and other back up funds because he will start building those funds a long side with his or her Bitcoin investment and because his or her discretion income is small building those things together will take a very long time.
One thing that also prolong the journey for a poor man is excessive emergency issues when his having too much emergency issues it will be hard for him to build up except those emergencies are within the means of his discretion income if is not then it will be impossible for him to build up his Bitcoin because his those emergencies will eat up all his back ups funds and his Bitcoin.