I think the only people blaming the pitch clock are the people who were already opposed to the pitch clock. I'm never going to believe that allowing the pitcher to dick around with a rosin bag, walk around the mound, fix his twig and berries over and over (for however long they want between pitches) is going to prevent TJ surgery, which is obviously always a risk when you're asking a human to use his arm and elbow in a way it wasn't mean to be used.
People are obviously trying to act like pitchers going down with elbow injuries is a new thing, but the numbers don't really prove that.