westsider
Lets go with the
rule, rather than the
exception.
All things being equal arguments:(this means you shouldn't refute this by positing a situation where things are not equal)
All things being equal, a 740 first try beats a 740 in three tries.
All things being equal, a 650 in three tries beats a 550 in one try.
Rule: It is better to get the high score in less tries.
After all, if they cost the same, do you buy the refurb laptop or the brand new one?

I've often thought that as well. but where do you stop?
Example:
For the sake of possibilities, I'll keep the comparison to 1 time vs. unknown lower previous scores:
1 time 700 vs. 2 time 710
1 time 700 vs. 2 time 720
1 time 700 vs. 3 time 710
1 time 700 vs. 3 time 720
1 time 700 vs. 2 time 730
1 time 700 vs. 3 time 730
how about 1 time 700 vs 3 time 750?
I just think a score a third time around is heavily diluted. I have more compassion for the 2 time scores.
Of course this is all for our personal egos; adcoms just want you to clear the hurdle.