Not really, itll just lead to people sitting around with next to nothing to do, since half of their skills are now useless due to lack of gems/supplies.
Limit it so that each team can only bring into the tournament that which they can carry, split among their members. No restocking from kafra or a GM. It'd be up to the team to work out a time to restock (assuming most teams would dump items on merchant class chars/high str chars); no special time would be given. They would either have to do it between matches or during the prebuff.