If you take a break and then come back with a smaller gambling budget, it means that the player has admitted that he is not able to earn money from gambling and is ready to continue with small stakes, and thus he admits that this will only be a game for fun. I do not want to say that this is bad, because there are players who will never be able to win at gambling, and if they can understand this after a long losing streak, then this is better than delaying this decision for many years and only collecting losing streaks.
Fun, money or whatever it is when a gambler is back then it only means two things.
He's ready to chase the losses and then want to redeem himself from those losses.
And the next reason is simply that he's a gambler, he'll comeback whenever he wants as long as he's got the money, big or small.