UNIT - Creature Balance + Visual Changes

1) Imba damage 7-10, not much different from armor-piercing damage of 6, but on top of that, it also deals almost as much ranged damage as the Archer.
2) The Arabs become an enhanced version of the Archers, while this tier doesn't need to be improved (Archers are already imba); new Archers, see point 1.
3) Similar to point 1, but also with a useful ability.
4) Similar to point 2 regarding the Arabs, but the Archers have insane damage and an ability (enhanced arrow is no worse than a direct shot).

You are proposing significant changes, but you are too lazy to work on them seriously. In that case, it is better to choose a policy of careful edits (minimalism). Fewer edits mean fewer potential complaints, fewer misses (because you first fix what is really necessary, and the rest... you just don't fix). If the goal is not to create a new game with new content, but to rebalance, then each edit is a bad thing (a price to pay).

The shamans in my mod are not being discussed here (this was an example of how to consistently develop the concept of Orcs in terms of rejecting magic, not destroying it).

My criticism may be harsh, but it is always to the point. At least, in matters of game balance. You are ignoring my experience, as well as the experience of tournament mods, which have significantly more participants than readers of this topic, and at the same time, you don't really take into account the opinions of other forum users. Of the 4 proposed options for the Arabs, how many were based on suggestions from other players? It seems that no one suggested increasing the damage of the Arabs to the heavens, giving them the retaliatory shot, piercing shot, enhanced arrow, stopping arrows, or increasing the damage of the Archers.

This is what I would remove from the mod description; it sounds arrogant, and at the same time, balance can only be verified in practice (and you haven't verified it), besides, you yourself admitted that it is not ideal and that many more iterations are needed. Any theoretical calculations are the result of assumptions, and each assumption is a source of errors. With so many changes, you have a lot of errors (there should be), you need to have an army of testers, or hold tournaments, or test a lot yourself, in any case, invest heavily (to the maximum), and the opinions of more experienced players can simply shorten the path, but it will still be long. If we are talking about balance.

The fastest way is to take tournament mods (TE or RTA). Look at where the most significant changes have been made and note these points. Then work on them, thinking about how you would do it yourself, based on some of your own criteria, but without violating the general meaning. This will be objective - the method of the most popular edits. And at the same time, it won't be a copy. It also saves a lot of time on edits that are not needed and on questions that you don't have to answer.

The ability of battle mages drowns out the damage from piercing shots and has nothing to do with magic (a clumsy name).