Basically that would create two or maybe three types.
The gambler that plays once in a while and therefore pays very little.
The gambler that plays regularly and therefore pays a lot of money but still can keep it below what he makes as income. Basically a gambler that works for gambling.
And finally the gambler that loses control and ends up in financial ruin.
If we use this stuff to determine the type of gambler, then this is too general. I believe experts tend to group their subjects to address the problem during treatment. Thus they need to know the behavior of their patient and the reason why they are gambling. Your categories might fall under a sub-type that determines how much money each type spends.
We all know gambling addiction may arise from different types of gamblers where conservative and professional gamblers are the least to be addicted.
Obviously the main motivation remains money but also the interest would be in the victory of beating the game, this cannot be overstated as a big interest for some players. A boring or straightforward game will gain less interest from this category of player even with equal prize money.
'I have to win'
Did you never have a friend who has to win at everything even silly kids stuff or whatever task isnt even supposed to be a game, just has got to be 1st always. This is a strong theme for slots and card games surely.
Still, the type of activity will fall under the given type of gambler, basically, the reference used to determine a type of gambler is the gambler's reason why he is gambling. Feel free if you have read or researched another type of gambler that is not listed on OP.