Hi!
I was just attacked by a lone viper with a lead pipe whilst standing in full power armor and a minigun. Now, should weaker enemies (such as lone raiders with a lead pipe) just plain avoid you if you're wearing very powerful gear?
Having this be the case can make wearing different gear both incentivized and punished depending on what you're after. For example, if you use great gear, you're less likely to get loot since more enemies will flee from you. It may also make the player feel very powerful, since enemies react to the player's presence in a very respectable fashion. It also gives the player one more reason for using lesser gear, should the player wish to not deal with fleeing enemies.
However the biggest negative is probably the elephant in the room, that it can get annoying if enemies flee from you too often.
What do you think?