“Your Apple TV account has expired"

No, Apple wouldn’t use those exact words, as it is inaccurate. A subscription can expire, but not the account. Apple wouldn’t even contact you about an expired subscription. Most subscriptions auto-renew until the user cancels that subscription. Apple might send a message that the subscription fee failed to charge through your account, which gives you a day or a few days to rectify that.

Identify legitimate emails from the App Store or iTunes Store - Apple Support

Recognize and avoid phishing messages, phony support calls, and other scams - Apple Support