Bike Storage - rim damage

Just wondering, can rims be damaged from storing a bike by hanging it upside down with both wheels on hooks?

They're good hooks, the rims are cxp33's, the bike weighs under 20 pounds. The bike would be hung up for the winter while a 2nd bike is used on the trainer (Canadian winter). The bike would be pulled down sometimes to ride on rollers, tinker with, or take outside when weather permits.

Nope.

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