If you get a shit first score, just quit and restart. No point in doing the remaining two if the first score is shit.
From my personal experience, I have to slightly disagree with you. I tend to get the better one at the final wish as a matter of fact, while to me, repeating the process all over again when the first score is dissatisfying is making me look much more frustrated haha. Take a look at this updated one of mine for example:
As you can see, my first two scores aren't that good compared to the last one. Don't know why, but I think I got driven to boost/pay much attention in the last one more since...well it was going to be my very last one. Or maybe I was just having my luck foremost there (e.g. not much tracks that are having alternative paths so there were only one-way track overtime so I could reach the stars easier), so I think it still really depends.
But seriously, I didn't think I could reach that almost 90K on the last run because the score text was getting bigger and bigger the more I hit those stars. Like Idk XD