I know people wonder this once in a while, so I tested it.
This TV does appear to "remember" its last powered state. That is, if you pull the plug when it's on, it'll power on when you plug it back in. If you pull when it's off, it'll be off when you plug it in again. I pulled the plug last night (when powered on), and plugged it in this afternoon, and it came back on automatically. I don't know why ALL TV's don't do this.
I was concerned about this issue (as most others are), because I power my cabinet from one source, and I wasn't about to consider using the remote to turn on the TV every time I wanted to play some games.