Good point, we'll leave aside the rich or poor bit and it's true that it all still depends on how they approach gambling, if it's basically as you say that they have a strong ambition and enthusiasm for gambling along with some addictive mindset then it doesn't matter if they're poor they're still going to treat gambling with an aggressive approach, and the point is rich or poor if you have the wrong approach to gambling then obviously the rich are going to be poor and the poor might sacrifice their lives just for one spin based on luck.
One of the reasons why losses are more common than wins is because casinos apply a larger percentage of losses than wins, and I think it's a natural thing because after all this is a business for casinos which as we often hear that overall wins are actually only for the casino itself in the long run, and gamblers only get occasional wins that come by "chance" and also those that depend on luck, this is the reason why you can lose more if you basically put seriousness because all wins are nothing more than "possibilities".
Both responsible and irresponsible gamblers consist of high and low rollers. No cheap gambler, gamers can't be tagged poor, it's better called low rollers, as we can't determine for sure who's poor, indeed. A rich player can decide to be a low roller and a poor high roller. That is gambling above his income. Hence, the attitudes of these sets of people must differ, gamblers who are irresponsible have the same behavior regardless of their financial status, same as the irresponsible players. We all know what happens when one chooses to be irresponsible in gambling. If he's rich, he could end up poor as you said. Risk in this context means who gambles with a huge amount of money. A poor person can't afford to wager a huge amount, but what makes him a high roller, can be a low rolling for a rich player.
So, the risk for a person who doesn't possess lots of money could be going the extra mile by borrowing, illegal businesses, to raise money for gambling. However, trying to match this context of reason can be difficult in terms of behavior and type of gambler. Looking at the perspective of a rich player who chasing losses, is he actually in need of the money or addicted to the behavior? He's rich and may not be seriously on the lookout for more, to the extent of chasing losses. He could wager a huge amount and wait for another time to gamble. Unless he wants to go broke, then chasing losses while wagering huge amounts will take him there. Gambling is a risk for everyone, and the amount we wager doesn't define whether we are rich or poor in real life.
Well actually we don't have to bring someone's background in problem gambling because after all it all depends on how the approach they have on gambling which is simply that if for example they have the wrong approach and that is not recommended then obviously the impact will be very bad, and maybe we can only see them from their responsibility or I mean whether they are responsible or not and how they treat their gambling activities, this is outside of being poor or rich and more like whether they put something that they can be responsible for or not.
Rich or poor at the end of the day it's the same and I think the scenario of some of the actions that they would take would not be much different if they were the irresponsible gamblers and in terms of the impact it would be the same and maybe the only difference would be the timing of who would be worse off sooner. However, risk is never indiscriminate, or in other words, the possibility of risk in gambling will never see your background, rich or poor still have the same possibility but maybe with a different amount of loss.