I hope its true for the cap on buying tokens cuz it'd really defeat the purpose of winning prizes. Why play to win when you can just buy tokens with the millions of gil u have already lol.
Hopefully they will allow u to keep purchasing tokens up to cap.
I.e lets say the cap is 2000t and you lost a few games so ur tokens drop to 1980t. The npc then offers if you would like to repurchase tokens. So u say yes and get the option to buy more till u reach the hard cap of 2000t. After you reach 2000t you cannot purchase more tokens until u drop below the hard cap again.

I think this would be fair in terms of the whole pay to win/ play to win idea.
Ppl with gil can keep trying if they suck while ppl with less gil can still plow through it if they r skilled enough.