For example, the $6000 tournament. If I deposit nothing, would I stand the same chance of winning as someone who perhaps bought $5000 worth of items or skills or whatever?
Honestly asking, as I really am looking

It's a free economics. Everyone can both win and lose.
This system of play allows winning fighters to accumulate real rewards, in a provably fair, blockchain-based gaming economy!
https://cryptofights.fandom.com/wiki/How_to_play_guide_for_CryptoFights