Tom, how are you so sure, share your findings and experiment that they wont equalize.
The fact that the polar areas maintain a different pressure than tropical areas is a proof that the areas would not equalize.
This debate has gone seriously off the rails.
The thing is that these RE pressure maps are showing snapshots of a dynamic system - and the pressure variations are small compared to the overall air pressure at sea level. In a round earth, with the atmosphere held in place by gravity - the air pressure can rise in some places and fall in others across the globe in response to weather patterns. No air will ever be "lost" even though there are pressure changes. The air pressure never equalizes because there is a continual "chaotic" mix of heat from the sun changing through the day and through the seasons, reflected by cloud cover, torn by coriolis forces (oh, sorry - you don't have those do you?) and even tidal forces on the atmosphere due to the moon.
But these changes are TINY compared to what the FE model predicts...not even worth discussing.
Let me again explain the FE problem here:
The problem with the "infinite" or "very large" FE is that at some distance from the ice wall, the air would liquify or maybe even freeze. Your own Wiki says as much:
https://wiki.tfes.org/The_Ice_Wall "
Temperatures are thought to approach absolute zero the further one explores outwards."
Wow! At such low temperatures, the air would liquify or even freeze solid. At that point the atmospheric pressure would drop to zero. (Did you ever do the experiment in high school where you fill a strong metal container with steam, then close it tight shut - when the steam liquifies and turns back into water, the pressure inside the drops to almost zero and the can is crushed flat! It's a very cool demonstration.)
So...far, far away from our warm and cosy spot in the middle of the FE - there is a region with ZERO air pressure - a near total vacuum - the vacuum can never be "equalized" because any new atmosphere that enters that region will immediately freeze and fall to the ground as a mixture of "nitrogen snow" and "oxygen snow".
With no gravity or other force to keep the air over the habitable zone - air from the center will rush outwards to "fill the vacuum" (Remember: nature abhors a vacuum)...and as that air flows outwards, it too will cool to near absolute zero and freeze.
So that region of perpetual zero pressure will eventually suck all of the air from the habitable circle and freeze it. At that point, with no air pressure, the oceans would start to boil - and the steam would also rush outwards and freeze somewhere over the "near absolute zero" zone.
The "habitable" area of the planet would be reduced to rocks and dehydrated dirt - with every plant and animal dead, the result would be something a lot like the surface of the moon.
Clearly I don't think this is true. But the Wiki seems quite clear on this point - and it would be entirely consistent with a Flat Earth that is infinite in extent, but who's sun only hovers over the habitable parts.
I don't know how the FE'ers will explain this. But what the Wiki says is impossible.