I am well aware of coins with controlled inflation like BTC, where a finite number of coins will be generated at a controlled rate. Very recently I came across deflationary tokens where coins are destroyed whenever a transaction is made and they will end at some time.
My question is what is the purpose of creating such coins? Are they worthy enough to be invested ?
Generally people create coins for financial gain, either jointly with a team or individually, but in the post you made this is an affiliation between coins playing in the market, meaning the coins are used as sacrifices to collect others.
I see this condition as a pattern to balance the desired coin, if we talk about worthy or not, this goes back to our level of trust in the coin, Dogecoin at that time was also not wanted, but what happened was that Doge was able to prove very worthy for us to invest.
I totally agree with your point that doge gained popularity with time. Same may also be applied on deflationary tokens, they are at very early stage and only time will tell whats there exact worth.