The wallet will use a custodial system, which means Robinhood will manage the keys you need to unlock it.
This will be the same company that stopped it's users from opening or closing stock positions to benefit themselves? The same company which colluded with Citadel to screw over its users and protect the hedge funds? The same company which has been lying to try to cover all this up? They've shown a complete and utter disregard for their users, and shown they will do anything (even if it is illegal) to protect their own profits and the profits of their hedge fund donors and friends. Why would you think their attitude would be any different when it comes to bitcoin?
Anyone who trusts Robinhood with your private keys and your crypto is just asking to lose everything.