If you want to profit then it does not matter whether you have a big or a small bankroll you are not going to win, in the other hand if you are playing for fun having a small bankroll is in fact better since you will risk little and obtain your fun.
I don't think player don't have a chance to win. There are players who can testify that they win even if the odds is a bit low for them. Remember it is a game of luck or chance, taking this into consideration, player have the possibility to win.
Betting small amount does not impose big risk as well, you have a great chance to enjoy gambling and you will appreciate that in the long run. Just maintain to have control in yourself as we know gambling is very addictive and one mistake might cause a lot for us.
I agree there is a great chance we can enjoy the game with small bet, but eventually betting with the same amount will become boring, blame that to the law of diminishing return, and our mind wanted us to have more thrill resulting to the urge to bet more just to meet the needs of satisfaction . Imposing self control is best but it will be no fun in gambling anymore.