I really don't follow this. What is the difference, in this context, between a token and a die roll? The die roll "represents" how "well" the speech was delivered, and perhaps also how receptive the NPC it is direct to happens to be. The expenditure of the token "represents" the degree of genuine passion on the part of the speaker, and the extent to which that is successfully impressed upon the listener.
I don't see how one is "simulationist" and the other is not.
Right. Tokens per day equal to CHA bonus, or whatever, would be one way of linking the imagined token mechanic to the PC's abilities.
Even without such a linkage, I don't see that it would be very different from other parts of a PC's build that are not linked to stats - eg a Rogue's Cunning Action ability doesn't depend upon having any particular DEX score. So a Rogue with DEX 8 can perform cunning actions, while a Fighter with DEX 20 can't.