I believe the CTC-7s were in fact the first ones with a wireless remote. There's two types - full function (litterally does everything, just about), and the not so full function (more common?). The latter does on/off/channel/mute. Mute actually lets you select the volume on the back of the set from whatever it's set to to nothing.
There's a switch that bypasses the whole scheme when it's acting up (which it seems to always). You still have to pull out the knob on the side of the set to turn everything on, but until it's off, you can turn on/off from the remote. Think of it as a 'master' on/off switch.
The system is ultrasonic, and surpringly, it DOES sometimes work, though I've not gone through mine to make it work really well..
It's kinda fun in a way, and noisy. *click* *click* *click*. The remote has a battery + a few transistors, not the doggie whitsle type.
I have one, yeah, it works, but only when it feels like it

The set itself, however, is just beautiful, though the color sync 'slips out' at odd moments, I'm not sure why - burst transformer needs a twiddle? It's stable enough to watch, though. 21FBP22 though. It can get 25kv onto it, though (!) HV regulation goes south at high brightness, but I'm not surprised. It's not like a 16, that's for sure, but good enough to be good..