I disagree that a bitcoin wallet is a bitcoin address.
Actually a bitcoin wallet can manage multiple addresses and other information.
See:
https://en.bitcoin.it/wiki/WalletBut the video is fine as an introduction.
I think it just could explain a bit more the relation between private key and bitcoin address. Namely that:
"A private key is a secret code which allows the user to prove his ownership of his Bitcoins. Every Bitcoin address has a matching private key, which is saved in the wallet file of the person who owns the balance. The private key is mathematically related to the Bitcoin address, and is designed so that the Bitcoin address can be calculated from the private key, but importantly, the same cannot be done in reverse."
Explaining how to generate a bitcoin address from a random private key seems to me that would be helpful and important to explain in a simple introduction to bitcoin.