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Would Dremelling out under the whole saddle cloth help? A replaceable coarse sanding wheel of the right diameter has done the job for me in the past.
only ask because you stated you are a total duffer at visual problems.Please forgive me if you have. I meant it helpfully.
It's may also help . The saddle is the only thing that is actually close to the horse the entire time. Everything else is strapped to the saddle and intended to move and flex. Once you get up to a trot ,and above things can start to bounce ,and at the gallop can look like they're about to take off.