I find that a quick 1/4 to 1/2 turn on the Edison base fuses while pulling lightly outward gives a fairly clean break. About the same for the Type S, but those porcelain threads sometimes don’t seem to turn as smoothly.
Same thing in reverse for reconnecting. The last 1/4 to 1/2 turn quickly while pushing lightly inward and one then one final snug with the fingers. I don't get to hear that little "tick" sound when screwing in a fuse under load very much anymore, although I still have boxes full of brand new assorted screw-in fuses just waiting to leap into action.

Even to this day, I've never been able to find the elusive Type S removal tool so that I could easily replace the 30A adapter that the HO installed on the 14 gauge wire with the correct 15A that it should have been. It would have been much easier than using a screwdriver and needlenose pliers like I used to.