With no doctrinal buffs, or offmaps, I see this simpler version of the game degrading into axis support spam with heavy tanks, and allied elite inf. spam just to keep up.
If it was a simple clean cut removing those things, then you are right.
But suppose certain doctrine abilities were kept, and given to each of the three doctrines* by default, rather than as something you choose to get. Just a few for each doctrine, to get a middle ground of sorts. You wouldn't develop your doctrine (which is what the complicated thing is) and "balance" would be a region in a much fewer-dimensioned space, easier to achieve one aspect of balance without moving away from another aspect, because there would be less variables. Every company of a given doctrine would be somewhat similar, therefore each game would follow one set among fewer sets of rules, therefore it would be easier to determine what the problems are.
However, as it would not involve PP/XP grinding, it would probably have fewer players.. generally the only people playing it would be the ones who play only for the enjoyment of tactical battles in EIR rather than the enjoyment of using your developed company to beat someone else's less developed company. As much as we don't like to admit it, a lot of the reason EIR games are played is to improve your company.
It is, of course, a question of the work involved to have something like this function, compared to the motivation of the workers to have it function. Generally, supposed mod only happens when someone who wants it to happen does the work.
*
(which would be chosen to balance things, for instance granting offmaps to stop support spam)
