Casinos concern with fast deposit and withdrawal process. But we can't deny that some problems can occurs while the transaction finish the process. That could be many things so we can just wait for a while but if the time exceed 24 hours, we can ask to supports and they will check and finish it if the problem comes to their system. But if that is because of the network, nothing they can do except waiting for the network back to normal. But I rarely get too long deposit and withdrawal process as that will be arrive in the destination wallet soon.
Network problems are a force majeure event that happens very rarely. And it's clear that if there are issues with a particular blockchain, it will be publicly known. Players typically top up their deposits with USDT, in which case such a deposit will be processed quickly within minutes on any network. Alternatively, they top up with Bitcoin, in which case it may take slightly longer depending on the fee, which users can also set themselves. This can take anywhere from a few minutes to even hours if the network is heavily loaded and the fee is low. But again, this depends on the player's needs, if you need to top up quickly, then set a higher fee, and the funds will be in your account within minutes.
Exactly we can practise follow up with all transactions and if there is network problem we will see it in the public ledger, that feature with blockchain is what makes it easy for casinos to process transactions as fast as possible following the protocol of the chain implementations.
Even if there can be any delay it won't occure regularly and on blockchain like bitcoin where sometimes there can be heavy traffics congregations, but most gamblers deposits USDT as you rightly said so the possibility of such delay is always near impossible.