I'm more looking at what is likely in practice. Not what is possible with unlimited resources.
What most seem to be saying would require a total re-write of the TV software. Router too, likely enough. And both with no bugs in the software that would make it rather obvious it had happened.
And are 'they' then going to install this on every TV of this make - or just target those belonging to terrorists, etc?
If they install it on every TV, it will very soon be known about.
If they target known terrorists, why not just bug them with more conventional means?