If second type of token was having limited supply, couldn't it be more usable as supply was going down after every cash out which was taking it to burn. This need of second token which is limited supply based made me little confuse and I have to go through deep understanding. We need simple economical systems not complex one which you need tutors to understands them.
As far as I understood, the second token will have an unlimited supply. Because like you said every time it's gonna be cashed out, it's gonna be burnt, so no point in limited supply.