For me, the Apple TV is faster, I like the interface, there are more apps available, and I find airpod integration really useful. I have a LG CX OLED, and that has one of the better TV interfaces out there. I still find it a pain to navigate most times. Most other TV interfaces are very clunky and slow in my opinion.
Also, HDMI switching isn't a hassle nor is "booting up" the Apple TV which is as instant as turning on the TV itself. I only use my TV for two things. My Apple TV or video games. When I click the power button on my Apple TV remote, it instantly turns on the TV, turns to the HDMI input if it happens to be on a different one, and turns on the Apple TV. By the time the TV is on, everything else is on. There is no fussing around like you are inferring.
Another thing is, if I switch TV brands, I don't have to "re-learn" another TV interface. I just move my Apple TV over, and it is a seamless transition.