One solution to that problem if you wanted to use the 15-2116 would be an advanced feature called ToadTog. The remote itself keeps track of the toggle state. Of course, you must use only that one remote and I don't think that is what you had in mind.

Another alternative is an x10 appliance module and IR 543. Before you buy them you could experiment to see if that is feasible: Turn your TV on and then unplug it, leave it off for a while and plug it back in. If it stays off, then discrete off is x10 off and a discrete on is a macro x10 On|power toggle.

If it always comes back on if unplugged for varying periods then turn it On and Off with the x10 command and hide the power toggle command.

You will need the IR543 (~$20) to convert from IR to the powerline signal that the appliance module( ~$15)responds to. Whatever you do, don't use an x10 lamp module that has a dimmer as it will probably damage the TV. The appliance module has a relay and you do get a "clunk" sound each time it goes On or Off.

If you haven't tested the discrete off command from the TV On it may work. Sometimes only one or the other works. If Off works you can use that very effectively with the x10 module.