Maybe a glider with a fixed base would be a good compromise?
I put felt strips on a rocker at my mothers house. Never noticed flat spotting.
Rob
Have two on our boat. Gentle rocking on sun deck when at anchor. Folds EZ, stores well. Purchased "on sale" at West Marine about 1.5 yrs ago.
https://www.cabelas.com/shop/en/gci...VhqCGCh2XaAw0EAQYDCABEgLRh_D_BwE&gclsrc=aw.ds
My wife also has the pneumatic-style rocking chair which we purchased at West Marine. She loves it. Here is a similar chair at Amazon:
https://www.amazon.com/GCI-Outdoor-...&qid=1619459442&s=sporting-goods&sr=1-21&th=1