I would likely read your white paper, so bring it on.
My basic view would be as follows.
Each regiment has a combat width of 1. Regular frontage is now 12 (down from 80) and flanking frontage is 6 (down from 40). Assuming Triangle vs 20w divisions there will be no change.
Each division has a single HQ company. That company decides which kind of division it is. How many regiments and of which quality. Regiments would be a number from 1-5 (different for each country) and the quality would go from Static - Leg - Mobile - Armored. The HQs also have numbers for speed 1 - 3 - 12 - 8 and which kind of manpower it uses. I would also add 3 kinds of manpower Prime - Reserve - Elderly and Infirm. The different laws would give differing amounts of each type with Prime being the most common for the early war and Elderly and Infirm only being used in the most extreme mobilizations. Elderly can only be used for static, Reserve for Leg and Prime for mobile and armored and special forces (which have their own HQ type).
Each country would then have differing Division sizes based on national traditions, technologies and focues. E.G. Germany gets 2 regiment mobile and armored HQs after Poland campaign. Italy gets Triangle division HQs after completing doctrine tech tree.
Example: Britain gets a full range of 1 and 3 regiment division HQs. With their SpecOps only having the brigade option.
US has the same as britain, but gets a 3 regiment Spec Ops division and only gets 3 regiment static divisions by decision after britain surrenders.
Regiments are all of one type Static - Leg - Mobile - Armored and have 1-3 battalions, one artillery only slot and a final slot for support company or a 4th battalion. The HQ then has 1 slot (for the HQ) and 1 extra slot per regiment operating on the principle that this doesn't represent the only support companies, but rather extra investment in companies. Add support companies for specific terrain e.g. desert or mountain or jungle giving bonuses in combat and/or supply reduction.
Finally the larger a division is in numbers of regiments the slower it is. It will have slower speed, less re-enforcement and less division recovery. Effectively the larger the division the stronger it is, but also the less mobile it is. Furthermore, the reserves in a battle should not be fixed, but rather be free to move in and out of reserves to nearby areas.
I think this forces the player into a more 'historical' version and makes the meme division almost identical to the actual divisions used in the war. Add to this better infantry defense, better terrain defense, quicker 'internal lines' movement and more breakthrough for tanks this will work.
Other stuff I'd like to see:
-more terrain blockers to prevent large campaigns in the sahara, gobi, alps, lappland etc. corridors and impassable regions making it almost impossible for infantry to force their way through against competent defenders unsupported.
-base 1 airports and ports for every region for supply and air power so you never lose it and so you can do more rational invasions.
-tech limit invasion distances base 1, each tech upgrade +1 region.
-japanese army navy tension, set up so that if you don't conquer both china and the pacific you get big maluses, so as you advance in china your army gets weaker, until you advance in the pacific. Balance it so that china survives.
-options to manage minors and puppets within your own faction. e.g. Britain decides the AI of the CW countries and even can pick and manage their templates for imperial service.
-a hands off tech system where each country doesn't have to manage technology, they just get them when they got them.... as an option.