I've had more luck streaming games with Moonlight (+ Sunlight server on game pc) than using Steam Link, both for controller support in certain games and just better latency. Even on Steam Deck, when I'm at home I barely notice a difference, it saves a lot of battery and I can AAA games without compromising in graphics settings.
There should be a warning since SteamOS v3.3: https://store.steampowered.com/news/app/1675200/view/3401924854795478414
General -Added notification when Steam Deck temperature goes outside the safe operating range