I'm sorry to say but you have just discovered the issues with low-gloss LVP (and many other Low-gloss floors).
But first the issues you have created for yourself: " I have tried Swifter, Rejuvenate, vinegar and water, and the recommendation that was made by the store where we purchased the floor, Windex. "
First things first, you need to get rid of the residue put down by BOTH Swiffer wet (anything) and Rejuvenate. Each time you used either of these products you put down a layer of something. Swiffer takes a LONG time to cause issues (like years) so I don't think that's the issue right now.
Rejuvenate is a floor KILLER!!! And I mean "Someone start a class action lawsuit so I can join it already! Jeez! A girl can't wait around for ever ya'know!" Yes. Rejuvenate is THAT BAD!
Windex works to get rid of Rejuvenate...but it takes effort. To ensure you have removed ALL the residue put down by this company who has successfully ruined MILLIONS OF DOLLARS of flooring, you will need to get down on hands and knees and clean each section of the floor with windex...until your clean cotton cloths come up 'clean' (no yellow residue).
That means you will squirt the windex over a 1ft x 1ft space. Let it sit for 30 seconds or so...and then wipe up with a dry cotton cloth (clean of course). Then mist the section again and wipe up with ANOTHER cotton cloth. If the cloth comes up yellow or dirty once again, repeat. Spray; 30 seconds; wipe up; mist again, wipe again (check for residue). Once the cloth comes back as 'wet' but without colour you can MOVE to the NEXT 1ft x 1ft square.
Once you are 100% sure your floors are clean of EVERY CHEMICAL you have ever put down, you can then see what is left.
And yes. Vinyl floors that are low gloss (photos of the colour/presentation of the floors), especially dark flooring, have a LONG and horrible history of showing foot prints...and paw prints...and nose prints....and elbow prints...any oil will show up as SHINIER than a low gloss product. And of course skin oils are still oils (hence the worse with bare feet) so they will show up shinier than the surrounding flooring.
So far, no one has a fix for that.
Q