It doesn't seem fair to use rating gained, since it's highly dependant on your own rating. I'd suggest using performance instead.
Slack consensus seemed to be:
#1 Head-to-Head
#2 Number of Wins
I don't like "head-to-head" tie-breaker, it gives a big importance to only one game, it's statically completely wrong.
"Performance rating" is probably the most objective number.
FIDE recommendation for Swiss is:
For Lichess Arena events (which already heavily reward wins) I suggest:
Most helpful comment
Slack consensus seemed to be:
#1 Head-to-Head
#2 Number of Wins