Other than her obvious talents, Paige's is so versatile she can help the team at all three positions you mentioned. This is particularly important because the other perimeter players are closer to one position players. Nika is a point guard, Azzi is a shooting guard, Caroline is a SF. All of them are far less effective away from their natural position, but Paige could be terrific at all three.
For some reason many here assume that if the perimeter is manned by Nika, Azzi and Paige, that Azzi would be the SF. I have no idea why.
She is the worst rebounder of the three by far, is clearly shorter and not as long as Paige, and Paige blocks more shots. Clearly Paige makes more sense at SF than Nika or Azzi. Is she also the best PG and SG on the roster? Yea, but her ability to be very good at all three allows say Caroline, Aubrey or Q to sub for any of the three.
If Caroline comes in for Nika, no problem Caroline plays SF and Paige moves to the point. Caroline for Azzi means Caroline at the 3 and Paige slides to the 2. Caroline can also sub in for Paige at the 3. Basically the same thing could apply for Aubrey or Q. When they come in for Nika or Azzi, they play the 3 and Paige slides to the vacated position. KK adds another dimension to this, but the main point is because of Paige's ability at all three positions, most of our perimter players can stay at the position they play best, with paige spending time at all three positions to make it work.
Her talents are known to everyone, but her ability to play three positions very well as you point out, and how that helps her teammates do what they do best is vastly underrated IMO.