That is my preference, but my wife says she prefers only one step (turning on and using the TV) over multiple (turning on the TV, turning on the secondary system and using multiple controllers) so we go with the simpler setup per her request.
I did put my TVs on a Wi-Fi network separate from my main one so, while they do show ads as much as my pihole allows, at least they’re theoretically only spying on each other.