You would be a fool to take the TV from your room, but if housekeeping has a bunch of empty rooms open or the conference rooms are unattended, that may be a better choice.
I don't get the remote thing at all, unless it's just wrapped up in your clothing and taken by mistake. It's just silly, that won't work with your TV.
Good little story about what the most taken items from hotels are based on personal interviews at checkin from last year over at Gadling
http://www.gadling.com/2010/06/14/to...to-plasma-tvs/