Steam deck docked vs. Steam Link Apple TV 4k

Long story short I have had a steamdeck since the early days, non-oled version, but not used that much. Mostly some emulation until now. I also have an apple tv 4k and a home pc I7 3.6Ghz + RTX 3080). I'd like to do more couch gaming on my 4k TV, it's just tiring for me to sit at a desk in the evening as I am already doing this all day at work. I was wondering what solution would be best in terms of performance" using steam link locally to display on TV or steam deck docked?

Edit: I should have mentioned that for the Apple TV, I can connect it through ethernet cable. TV, apple TV and PC are relatively close.