Why don't we do a bit of a reset here and see if we can drill down on where the real controversy is at.
Do we agree that it's OK if, under a broad "Mage" chart, all of Wizard, Sorcerer, Warlock, Psion, and Artificer share the following level progression chart for these elements:
1. Initial armor proficiency
2. Initial weapon proficiency
3. Hit Die Used
4. Starting hit points
5. The level you get a new attack bonus
6. The levels you get a new ability score boost or feat
7. The levels you get a new class ability
8. The level when you learn a new spell, spell-like ability, or psionic ability
9. The quantity of spells, spell-like abilities, or psionic abilities you can "cast/use" at each level
Is that initial base progression chart something people object to in itself, provided that sub-classes and options/sub-sub-classes tweak what goes into each of those (like, for example, tweak what a class ability will be, what spell/psy/spell-like ability list you have access to, etc..)?
If not, which one(s) are bothersome, and why?
1. Initial armor proficiency
No, first mistake here. Wizards and psions don't get it , but the archetypal warlock uses leather armor.
2. Initial weapon proficiency
Wizards get too little proficiencies in comparison witht the rest (heck artificers even get to use bows). Dragging them down to wizard power level isn't good
3. Hit Die Used
4. Starting hit points
3.x warlock was better than wizards in the health department, in 4e warlocks and sorcerers hade better hit points than wizards. Again they get the short end of the straw, being brought down to wizard level
5. The level you get a new attack bonus
This part is up to debate, at this rate all classes will share the same combat bonus, we cannot discuss it propperly
6. The levels you get a new ability score boost or feat
Wizards and psions are SAD, warlocks and sorcerers are MAD, so far 5e has done little to change that.
7. The levels you get a new class ability
This all depends on what class abilities we are talking about.
8. The level when you learn a new spell, spell-like ability, or psionic ability
In order to keep balance they must be, but the same is true of druids and clerics, and they are their own classes
9. The quantity of spells, spell-like abilities, or psionic abilities you can "cast/use" at each level
This is bogus full vancian, full spontaneous, Prepared spontaneous, spell points and at will are very different in terms of flexibility. Prepared spontaneous is so strong that a class that is only spontaneous will need either an insane amount of spells known or a bigger amount of slots or any other kind of parallel ability in order to keep up.