And all of the reviews I've seen about the Steam Machine talk about how well both of those features work.
SteamDeck as a handheld is great plus or minus a few nits baked onto the power / battery life choices Valve made. SteamDeck -> TV and SteamDeck -> USB-C KVM are both workable, with caveats. I had hoped we would see the bug fixes you describe before the Steam Machine release. Alas, no.
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.
SteamDeck supports HDMI-CEC as of 3.7 ~2 years ago, using the original dock or select third party docks.
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How to Enable CEC:
Press the STEAM button and go to Settings.
Navigate to the Display tab.
On the right side of the screen, find and toggle on Enable HDMI CEC Support.
Ensure Wake TV when device resumes from sleep is also enabled.