Not really. I played on Inferno in a fresh save and didn't inherit skill until I played the post game arena. I didn't even upgrade the guns.
It took some time to get used to countering, but is not even close to impossible to play mostly melee in inferno without inheriting any weapon skills.
Like Darkbahamut said, you can do a no hit run against Weiss and is kinda necessary to do it on inferno difficulty if you neglected using guns like me. Besides, Weiss is a human enemy so he can be aerial comboed without even breaking the yellow bar, just breaking his guard is enough. His tells are very easy to read, like the only one that is hard to counter is his ultimate, but you can just run away to a corner.