Any major issues?
As long as you render the games at the Steam Deck native resolution (i.e. 1280x800) and use the FSR upscaling option this works perfectly. I do this to output to my 4K TV and the games run more or less the same as they would on the Deck itself with great visual quality. A 1080p TV should work the same if not better.
Make sure to put your TV in “gaming mode” or whatever it’s called in yours. Otherwise it’ll do some extra calculations to improve image quality which will cause noticable input lag. I’ve struggled with that issue for a while, thinking the Deck itself caused the input lag when displaying on an external display, but it actually was the TV which caused it. After setting that mode, together with FSR, it was basically the same performance as in handheld mode from what I can tell so far.
I use mine docked fairly frequently. No major issues that I’ve had. Just note that if you change the games resolution to higher than the steam decks native screen, you’ll sacrifice framerate for it.
It depends on your dock, your TV and whatever you connect your SteamDeck to. I tried connecting my SteamDeck to my Yamaha Receiver/AMP and it got confused by the HDMI CEC, and so I had to buy an HDMI CEC filter adapter so that it doesn’t have blank video every time I connect it. But YMMV.
The dock you use is very important for latency. There is a YouTube video out there that compares a bunch off them.