They said -and well may- make the leader-play more interesting, as they will be way less of them, now (thanks, pi!). They could all have a skillevel for each doctine-tree, plus various perks (like the traits, now) and experience, and whenever that reaches a threshold the HQ glows (think Civ4-promotion and, from here, great people: ) and you can pick a perk, or a skillevel in one of the doctrines for the commander (modifying the bonus the application of which conveys on the subordinated units, and the ´research´ rate of the HQ) or invest a ´lump sum´ into a doctrine-´tech´ (additionally to the accumulation that occurs otherwise through this HQ).
We could also have a ´general staff´ with limited seats into which you could call commanders, who would then add ´double´ (or so) to doctrine research, but would not be able to take command of an HQ in the meantime. This would help minors, who will have few HQs and troops to attach commanders to, to somewhat keep up in doctrines (and to reminscince HoI2 to some extent - think tech-teams). The general staff, then, should also be assigned a prefered tree and thus steer most countries on a one-tree-prefered track by default.
Anyway, under these premises, the screen we see at the beginning of this thread would be of pure informal function in the game. Or supplemented with a ´general staff´ panel. As is, there´d be nothing to do, on this screen, except for checking how things are going along (edit: and choosing the branches, i suppose, within each tree), as the research would happen in the HQs. I could imagine a similar system for all research, them being linked to factories and battle-experience. Ultimately, i hope we can get away without ´old school´ research points, or leadership, diplomatic points and victory points for that matter.