Wikipedia had the following to say:
"It has been argued that two games should be played with each initial position, with players alternating as white and black, since some initial positions may turn out to give white a bigger advantage than standard chess. For example, in some Chess960 positions it is possible for white to attack an unprotected black pawn after the first move. In standard chess it takes two turns for white to attack and there are no unprotected pawns at the start. Thus, white can make a threat immediately, causing a greater advantage for white than in standard chess."
The position chess.com gives you is random (within 960's rules). If you were concerned about it you could play 2 games vs. the person, one as white and one as black- although you couldn't get the same position, so this wouldn't fully solve the problem of the positional unbalance but just the white/black starting tempo difference. My guess is the advantage if any is small though and it's still pretty even unless you're a big 960 veteran.
In classical Chess White is slightly advanced because it has the initiative. I've red somewhere that in Fischerandom there are setups that favour White a lot and others that favour Black. I'd like to ask to the knowgeable forumnites which are the setups that empirically give equality to both sides (50%/50%)
Thanks in advance