I have cut the side of my fingers for years.
Have tried pitch changes, different style of inserts.
You name it.
Have talked with numerous pro shop people across the country and they look at my hand and then shrug there shoulders.
Usually it gets worse in the winter months because my hands tend to dry out.
So I use a lot of moisturizer  on them.
I have learned to do more preventive maintenance on my hands after bowling large amounts of games in tournaments.
Band aids and neosporeun minimizes the damage.
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Almost all things are better when they come from Texas.Except maybe the USBC. LOL