The trouble with felt is that they may have dust particles in it, accumulated over the years.
Museums use felt lined trays in large timber cabinet trays. That is an old storage and display system that has been used since the Renaissance.
I don't have the resources and storage space for a timber coin cabinet.
I opt for what I think is a far more common and modern method of storage and display for coins generally:- storage in cardboard / mylar 2x2's, which also carry all of the acquisition and attribution details. That sidesteps any problem that may arise from coins resting on felt. I have seen auction coin lots described that indicate 'cabinet friction'.
If you are using paper envelopes for coins, make sure the paper is acid and whitener chlorine free.
If a coin has old preservation wax on it, soak it in acetone overnight, use soap and water, and a quick rinse in acetone again.
(Distilled water would be preferable to tap water; Sydney, where I live, has always had very high quality drinkable tap water. Other cities around the World may be different.)
Apply new preservation wax after that.
I have never heard of acetone causing any trouble for any coin. Hundreds of members here in the CCF will readily attest to that.
I enjoyed a whole day in the Coins and Medals Department of the British Museum decades ago, looking specifically at Roman gold coins. Now you have jogged my memory, it feels as if I was there yesterday!

I found all of the Museum staff very helpful, despite me knowing much less about Roman coins than I do now.