It sounds as if the paint was not fully dry to me. Although the surface of the paint coat is "touch dry", dependent on temperature and thickness of the paint, it can take several days to fully dry out, as kindly remember when using and paint, be it spray or brush on, the new coat reacts with the other paint/primer, softening this too, which takes longer to dry out as the thinners in the paint evaporates out.
The felt itself is not the problem here, not unless there is a chemical in the material itself, left from manufacture, which you will not know, unless you wash the cloth first and dry thoroughly before use, which i do appreciate you would not expect to have to do with felt material.
id still go for the paint not being fully dry......