Mobs should be scared of the Wither

So as you all know the Wither is a very aggressive, destructive mob that is hostile towards most other mobs. So you would think that these other mobs would at least try to stay alive, and avoid the destruction, but evidently that’s not the case. I think it would be interesting if other mobs were scared of the Wither, and would run away from it, now obviously there would be some exceptions, like undead mobs, and other bosses/strong mobs (i.e. The Ender Dragon, and the Warden). I think this change (and a buff to the Java version) would help make the Wither feel like less of a pushover.