Related:
Regular chess: Why would I bid for white in armageddon (in regular chess)?
Chess960: Why would I bid for white in armageddon in chess960?
Were there armageddons where white gets lower time or where you can bid for white?
Armageddon: Has anyone actually bid for white in chess (or chess960)?
Re 2023 Champions Chess Tour Airthings Masters
From Gukesh Beats Former World Champion Kramnik 3 Times, Dominates Play-In
Here, armageddon bidding is not for black but for your colour of choice! But black still gets draw odds of course.
Question: Let's say this were chess960 instead. In chess960, since there's no theory, is there actually no advantage in having to play for a win on lower time?
My guess: Yes. Best case scenario you get a good deal on the bid by winning with 9:59. It's essentially playing a regular game of chess960 where black has draw odds. Unless you hit the winning 1/960, you're on your own without any theory playing against someone with draw odds. All you get to do is maybe open a bishop diagonal 1st.
Also say I played 4 games with someone and won the 2 white games and lost the 2 black games. In chess960, I have no idea if my luck with white will continue in the next starting position. I guess it depends on to what I extent I feel that the white games were won 'because I am white' (Re the quote 'When I am White I win because I am White. When I am Black I win because I am Bogoljubow.'). But again even if that's the case, there's no guarantee it will carry over to the next starting position. But if we somehow do the same position for 5 games, then maybe.