Why not just use a stable currency to price your "game token"? Once you are out of the base layer, there is no need to tie any transaction costs to the base layer token.
So, in your example, the game company could easily just say "pay us X amount of dollars however you want, and you will receive the exact same amount on the layer-2 to play".
I feel like we are right back to why even bother using cryptocurrency for this if the fundamentals of it aren’t stable enough for day to day transactions.
My example was talking about using a layer 2 token. Now you’re telling me that it’s simple just use a completely different currency to buy tokens?
So, in your example, the game company could easily just say "pay us X amount of dollars however you want, and you will receive the exact same amount on the layer-2 to play".