Here's an issue with this thread:
It fails to start with a clearly identified problem. The implied problem is that we are sending the wrong people and that other people could do better. But we don't know that to be true at all.
Whether the "other people" would be picked by a committee (most of us hate that) or through a 2+1 method (two trials qualifiers and one more from a points system)(some seem to like that), there is no way to know that those people would be any better.
Ask yourselves this: Are the performances of these third-place finishers from the trials so bad that we think a new system would be better? Or is there no problem identified here that even needs fixing?
What we know about third-place trials finishers since 1984, in the Olympic Games:
You have the finisher, (Place among USA finishers), then place overall.
1984 John Tuttle (3rd) DNF
1988 Pete Pfitzinger (1st) 14th
1992 Bob Kampainen (3rd) 17th
1996 Keith Brantley (1st) 28th
2000 Mark Coogan (Didn't Qualify for Olympics)
2004 Dan Browne (3rd) 65th
2008 Brian Sell (3rd) 22nd
2012 Abdi Abdirahman DNF (1 of 2 DNFs)
2016 Jaren Ward (2nd) 6th
2020 Abdi Abdirahman (3rd) 40th
So, third-place male finishers were the third American in the
Olympics (or didn't qualify) 60% of the time. They only cracked the overall top
ten once, and were top eleventh to twentieth overall two times (three total
top-twenty finishes in ten chances).
Women
1984 Julie Isphording (2nd) 36th
1988 Cathy O'Brien (3rd) 40th
1992 Francie Larrieu Smith (2nd) 12th
1996 Anne Marie Lauck (1st) 10th
2000 Anne Marie Lauck Did Not Qualify
2004 Jen Rines (2nd) 34th
2008 Blake Rusell (1st) 27th (Other two USA women Did Not Finish)
2012 Kara Goucher (2nd) 11th
2016 Shalane Flanagan (1st) 6th
2020 Molly Seidel (1st) 3rd
So, the third-place female finisher was the third American or Did
Not Qualify only 20% of the time. They finished in the top ten overall three
times and eleventh to twentieth twice more (a total of five top-twenty
finishes)
Are these results so bad that 1) the system should change and 2) that an athlete picked as the +1 (after the top two from the trials) would give the USA a better shot at a medal or even a top ten finish?
On the men's side I think a points qualifier might perform better in some years but that is far from guaranteed. On the women's side I think that the third-place finishers do really well and the current system is supported.