I would have first worked with a file on the surface of the hammers. It has happened to me many times, doing so improves the sound even without voicing. The outer layer on the tip of the hammer hardens from use and therefore affects the sound.
It's true, there are those who, without using a file, lightly rub the tip of the needle, sideways, to soften the hard "crust" that forms on the apex of the hammer and achieve the result. Anyway, elZinamusica's observation is correct
Unfortunately, with a shaved hammer head, it is not indicated to impregnate it. It is not certain that shaving it will make it shiny again. In fact, besides changing the geometry of the action, a good part of the felt, which reacted as an expanded part, is sacrificed and then one approaches the core of the hammer... making the sound more "woody". Another hypothesis: Probably, an intervention has already been made with tuning too deep, making it unusable. Or it is very old. Given these premises, it is advisable to replace it with a hammer head that is, naturally, appropriate for that piano. What instrument is it?