What you are trying to prove is wrong imo.
1. Allied are 3 factions against 2 axis factions. Some of the tanks are the same for both axis factions. Because of that allied stock+doc rooster has way more tanks than axis, and allies also have many more heavily armoured tanks than axis. Churchill could be a stock example of such really heavily armoured tank, but the plethora of Sov and UKF doctrine tanks just makes it much even more varied and numerous. How can anyone not see that? It is very possible that an axis player will face a completely different mix of tanks/tank destroyers/at guns in each out of 10-20 matches. Allied player will only see a few tank compositions repeated in each game. The difference is huge. It is simply a myth that axis have more thickly armoured vehicles. Now even usf have self-service dozer shermans.
2. Even if there are those tiny differences between medium tanks they mean very little. It is a very similar number of at shots to kill such tanks. If you pay significantly more in terms of manpower/fuel you might buy a panther as axis, and that would be, realistically speaking, the only more heavily armoured stock tank on the axis side. But even paying more resources might just give you 1, max 2 more at shots before it gets destroyed. The higher price tag on the panther and not being able to deal with infantry (in relation to how much you pay for it) just makes it a bit of a weirdo tank. It can be kited by tank destroyers so it is an at tank that is just too expensive for what it does.
3. Axis generally don't have that many reliable 60+ range tank destroyers. This basically means there is not much sense of having this 1-2 shot more durability if you can be kited and either destroyed or lured into at guns, mines, handheld ats, etc. You can be forced to be constantly repaired, which is a perfect tactics of denying axis arnour have any significant battlefield presence.
To sum up, allies have better armour, as it is cheaper and can reliably deal with both tanks and infantry and can be backed up by much better tank destroyers. Making raks less durable just makes no sense imo, as allied tanks are simply better than axis tanks (and very often even more amoured). How can one want to nerf rak if Soviets have dual purpose, even more durable ZiS guns?
all the allied heavy armour options besides the chruchill/comet are in doctrines. you wont encounter them all in one game. axis have most options for heavier armour stock and only a few in doctrines and in more doctrines then allies (esp usf and ukf) can dream of. not the mention the ptac get out of jail free card.
allied stock tanks are cheaper for the very reason that they have less armour then p4,s and vs stock panthers and kt a lot less armur and health health. This is also the reason the allied td meta is alive and well.
you can sum it up and deney all you want but it wont change the fact you will have a better time bouncing shot as axis then you will as allies.
please check this site its up to date as far as i can tell.
https://coh2db.com/stats/
you will see how high the armour is on axis tanks and how high the pen is vs allied armour values. not that their is anything wrong with axis having higher armour stock but its defenitly not a myth.