There's a cyberpsycho that will kill you dead without a melee weapon. The one with the claws that comes out of the refrigerator, specifically. I didn't have anything invested in melee and had an ok melee weapon, so after dying multiple times trying to use a gun, I switched to melee and blocked her attacks.
You don't need melee for that though. That just hits what I meant about 'get mit chance' because the close quarters are unfavorable otherwise and it makes her into a joke. It's very easy to tranquilize her and at most just swap to fists at the end to conk her out if you're going for nonlethal takedowns.