Dull broadheads will go through an animal at really close to the same rate as sharp broadheads, all else being equal.
Dull broadheads will not cut as much pressurized blood containing vessels as sharp ones, all else being equal.
For the vessels that do get cut, those cut by dull blades will clot/close faster than those cut by sharp blades.
None of this is particularly controversial.
All of this is on a continuum.
If you’re trying to compare pretty sharp broadheads to really sharp broadheads, You likely have to kill many animals to start to quantify the differences. I would be wary of human beings’ propensity to post hoc events to fit their mental model.
Across 100 or so medium/big game animals killed with a bow, and dozens more I’ve been witness to, I’ve landed on: surgically sharp fixed heads on 500-550gr arrows shot through a broadside ish calm animal without breaking their leg bone (punching a scapula doesn’t see to change things). This combo seems to lead to animals that dont run far, animals that dont know they dying, animals that lose enough blood pressure to get it to their brains quickly, animals that die within sight or sound of where I shot them.
Drop arrow weight, shoot a mechanical, shoot a dull broadhead, take a steep shot angle, break a leg, shoot a jacked up animal, and results can vary wildly. To be clear I have done, and continue to do some or all of these things.
But I have not seen a single compelling reason across all of it to shoot a dull broadhead.