Youtube sponsors will only pay you through Youtube's interface, on the condition that you display their ads on the video. They (usually) don't influence your video content, that would be the creator's job to do that.
The video can still have the ads and be like any of the other videos, but instead of giving Dollar bills, they could just hand out random hardware wallets with bitcoin on them or transfer the bitcoins from their wallet to the receivers wallet. (If the receiver does not have a wallet, they can give them Paper wallets with bitcoins transferred onto it.
Just imagine Ledger or Treazor getting onboard and sponsoring hardware wallets for a mass giveaway (pre-loaded with $1000 worth of Crypto per wallet and 1 secret wallet with $100 000 on it) - They can get different color wallets or they simply mark them, so they will know when someone wins the $100 000 one.