Proper force, Muon decay, and Time dilation?

I’ve come across non-mainstream opponents of special relativity who seemed to be rather highly skeptical of the relativistic effects of time dilation and experiments using muon decay times that have been conducted in testing said effect. Usually their objections would be that the average muon decay time must have been dynamically changed after its creation because it was subjected to a proper force which would dynamically affect its clock rate (internal/external structure changes perhaps?). The intuition being that when any other macro clock is subject to a force or is present in a non-inertial frame of reference that this would affect the clocks’ ability to remain isochronal or be consistent in terms of time keeping. In Newtonian physics we can affect the rate of clocks by purely dynamically affecting them but we’d acknowledge in that case that it was the dynamics that was doing this rather than there being a different background spacetime structure that was responsible.

If I wanted to put this to the test then what would I look for in the decay times of muons, that were accelerated, to rule out the influence of forces on their time keeping? If experimentally I was given their known induced acceleration, time of decay of moving muons or ones which were accelerated, the average time of decay for a muon at rest, etc? What would I be looking for in the raw data?

Sincerely, College Sophomore