Interesting thought. I'm sure there's an actual scientific answer based on physics.
I'm not an engineer, but something comes to mind that possibly has some similarity. Intake and exhaust dynamics in an engine might have some comparison when you consider intake runner length/diameter and exhaust header length/diameter. These elements influence the flow of air and gases. The size and length of the gas port as it's altered by barrel thickness might be too little of an element to actually have an effect...or maybe it does.
I have a somewhat anecdotal experience with a gas port scenario. I have a 24" SS match bull barrel that was mounted on an AR. Even with the lighter carbine buffer and spring, the gun would not strip off a new round no matter what...different ammo, standard gas block, another BCG, etc. Trust me...everything was correctly installed, checked, and double-checked. I was not getting enough gas...period.
The gas port was what most charts recommend for a 24" barrel. I eventually drilled out the gas port to the next chart size. At that point and after, the gun cycled perfectly...every time.
That barrel was a hugely thick artillery piece. I might consider that the port size and gas flow was somewhat inhibited by the distance the gas had to travel within that thick segment of barrel and therefore reacted positively to the next port size I drilled. I don't know. Just a thought along the lines of what you're discussing here. Hopefully someone who knows some of the science/physics applicable to this issue will chime in.