Connecting Apple TV to hotel wifi

Yes, hotels usually give a passcode. However, in most cases this will bring up a webpage, when connecting via your device, where you will enter that passcode for authentication. This would not be possible on an Apple TV as it doesn't have a browser. This will then require further assistance from the hotel staff to see if you can gain access.

If it is in fact setup as a normal network, then yes it would work the same way as you login on your home network and you could sign in on Apple TV.

If the hotel network requires login via webpage then that won't be possible on Apple TV since it doesn't have a browser. Best to contact someone at the hotel to assist in gaining access.

Not a problem. Yes, a minimal browser would make more sense and I suppose if enough were to request such a thing they may look into it.