Can you elaborate in which use case bazzite is better on deck than stock steamOS? Whats the difference in terms of battery life? What are the tradeoffs?
Personally don't have a deck.. yet. I run Bazzite as my OS on my PC though. However, I read and see a lot of people running Bazzite on decks on forums and discord. This is also where i'd recommend going for answers such as you asked for. If I had to guess there isn't much difference when it comes to battery life - they're both running the same kernel. The reason you would want to switch, as shown on their website is to unlock the ability to run flatpak on your deck.
I run a rebased kionite to bazzite on my desktop pc, so its not like I hate Bazzite, I love it.
All in all not a very sensible recommendation, in my opinion the risk of bricking far outweigh the aesthetic appeal to run Wayland apps.
The deck already supports flatpaks and it even comes with distrobox installed if you want to install normal packages. In my opinion there is no reason to switch from SteamOS to Bazzite on a Steam Deck.