Edit: This test is a bit apples and oranges since the difference in NA between the two is pretty huge, but I figure it's still worthwhile since someone might plausibly need to choose between the two.
The S apo has some ugly scrapes on the outside of the casing, but the glass is clear. The fluorite has good cosmetics but a small mark on the back lens, though it does not seem to affect performance--but if someone else does a test and finds different results, I am going to blame that and take zero personal responsibility.
I took a few shots of a fairly mediocre slide of acetominophen I had on hand, both in brightfield and with crossed polars. It's a fairly thick crystal layer so these comparisons aren't as perfect as they could be, which would matter more if this ended up being more ambiguous.
First the brightfield stacks, with crops selected from single images to best match focus.

UplanSapo 20x^

UplanFl 20x^
Click for larger but not full size, I resized down to 3000px width because of Imgur's upload limits.


The difference in detail is really obvious, center to corner. The fluorite's color correction is really not bad, but can't stand up to the super apo which really is clean corner to corner.

UplanSapo ^

UplanFl ^
For the cross-polarized picture I decided to compare crops from the stacks, since the individual pictures really aren't as nice with a slide this thick.


Anyway, this is another one of those really obvious test results--obviously any objective that a big four company is willing to call "super" is going to beat out a mere fluorite, and the higher resolution is going to make a big difference. But hey, I need to take test shots with them anyway so might as well share the results. I think these are both good options, but if you see a super apo at a good price I'd recommend snapping it up. I guess with the newer Olympus UplanXapos (super duper apos?) the merely super apos are yesterday's news, but I'd have trouble finding anything to complain about with this objective.
The comparison I'd really like to run is between the super apo and a Nikon 20x/0.75 planapo, but I am not sure how to do it logistically. The 20x is just too long to fit on a BX40.