CEC support was added in to the Dock in May 2024 https://store.steampowered.com/news/app/1675200?emclan=10358...
Bluetooth wake made available for LCD Decks in September 2025 (it was already available in OLED models) https://store.steampowered.com/news/app/1675200/view/4983336...
I will say that the Deck has less than stellar bluetooth reception in my experience too. I settled on an 8bitdo controller because my XBox Elite couldn't stay connected from across the room. The Steam Machine has a dedicated antenna for Steam Controllers though.
It's a Bluetooth problem in general.
If you have 2 or more controllers, you're often better off going with wifi dongles.