A custodial wallet, such as an exchange account, keeps the keys on the provider's side and lets the player log in with a password. Recovery is easy when a password is lost, and the provider can freeze, delay or refuse a transfer under its own rules. A self custody wallet keeps the keys on the player's device, which removes that middleman and puts the entire burden of safekeeping on the owner. Each suits different amounts and habits.
A casino account that can send coins out is worth protecting like a wallet. An address whitelist limits withdrawals to addresses saved in advance, often with a waiting period after each new one is added. Two factor codes from an authenticator app protect both the casino account and the wallet itself. For larger balances, a hardware wallet keeps the keys on a separate device that signs transfers without exposing them to the phone or computer.
Exchanges often set their own rules for transfers to gambling sites. Some block them outright, some flag the account for review, and some ask where the coins are going before releasing a withdrawal. Sending coins from an exchange to a casino, or back again, can therefore pause at a step the casino has no control over. The terms of the exchange account show whether these transfers are allowed and what checks they may trigger.