Well, against everyone's advice, I just pulled mine off.
I'm so used to seeing the screen-and-PVC pipe covering the pond, I can hardly get used to seeing the pond uncovered. I want to enjoy how it's supposed to look for a change, instead of all hidden under wire and plastic.
Hopefully there will be no problems. If so, I will slap the covers back on. For now, the koi are fine, but the fantails have not shown their faces since the screens came off. Guess they have to get used to the new look, too.