MOVs are pretty well just as quick as TVS.
MOVs can take more grief than TVS , generally.
TVS have more accurate clamping voltage than mov, but its still poor.
What you shoudl do is have two fuses.....have the mov just downstream of a very high current fuse, so the mov shunting high current doesnt blow it, -unless its really really high current....then have a lower value fuse downstream of the mov...otherwise you will keep having your fuse blow when the mov shunts high currents.
Feel free to have a diode_blocked high capacitance just after the mains rectifier bridge (diode blocked so it doesnt interfere with the pfc stage).....if you like, have your low value fuse downstream of this...so that transient overcurrents that flow into the diode-blocked capacitance dont blow the light current fuse.
Some people rely on the post pfc stage capacitance to shunt the transient overcurent, and stop it from developing a big overvoltage, but if you do it like that, then your light current fuse might nuisance trip when a transient overcurrent occurs.