Just did a quick search on the topic of felt. Seems some of the problem lies in metal chests. The wood ones don't seem as prone. I'll certainly keep an eye on them.
And in some of the cases a tool such as a plane sole would rust because moisture was trapped between the tool and the metal drawer. Wood wicks to some extent and can" breathe". As long as moisture isn't getting trapped , and none of my pieces presents this situation I think it shouldn't be a problem .