Heroes 5.5 WarGame Edition - Tactical Edition.

I didn't say that it would be implemented because we are focused on quick turnaround times (meaning 1, 2, or 3 weeks), and there are no problems with adding +1 dragon per week, as long as there aren't too many of these weeks.

They messed up with their understanding of the game's pace. Although, in my opinion, it's quite difficult to play as a Might and Magic hero. They need more time to build guilds and upgrade magic skills.

Why is that? The Mage Guild is built just as well as creature dwellings. If desired, you can reach a level 5 guild by the beginning of week 2; it is built no later than the upgrade to tier 7. The question is whether there is enough mana (i.e., this is an option for heroes with 40% proficiency in the relevant skill).
With +1 level per day (the dynamics will be approximately like this), I don't see any particular problems with skill upgrades either. In 6 level-ups (i.e., in the first week), you can max out any school. The only thing is, if a hero starts without a magic school, the skill might not be offered early, but the chance for primary skills (included in the top three skills of the class) is no lower than 20/80 = 25% for each level-up.

For example, Railag (Necromancer) starts with Luck.
Minimum (base) chances of acquiring new schools upon level-up:
Chaos = 2/8 (25%)
Sorcery = 2/8 (25%)
Darkness = 1/8 (12.5%)

In the original game, a similar hero, Vaishan, has the following chances with Luck:
Chaos = 15/82 (18%)
Sorcery = 10/82 (12%)
Summoning = 10/82 (12%)