It sounds like there is a leaning towards subclass focused abilities, which makes the most sense to me. WotC seems to be trying to do that in post-PHB content. Mike Mearls said he regrets the way they did Champion and Battle Master because they are mechanical rather than identity based, but I think there was some merit to. They could have started with fighter subclasses with stronger identities, but that would have required a significant number of them to cover all the basic options so people didn't feel like their option wasn't supported. The Battle Master supports (in my eyes) things like swashbuckler, gladiator, samurai, as well as the more generic concepts like a fighter that trains at a dedicated fighter's school or a tactical leader. And they have non-combat abilities in the form of a tool proficiency (not unique) and an ability to size up potential opponents (unique). Champion's out of combat ability, Remarkable Athlete, is kind of weak, but it is mostly unique (bard gets something similar). Purple Dragon Knight got Persuasion Expertise, which isn't entirely unique, but is definitely something. The UA fighters seem to all get unique things.
So would the dissatisfaction be absent if the PHB subclasses were more like the UA subclasses, or is it more fundamental?
For instance, fundamental things like followers or better taxes don't make any sense from a 5e design standpoint, because nobody gets those features or the equivalents of them anymore as built-in class features. Implementing those sorts of things would require giving rogues a feature that makes them guild masters, clerics a feature to get their own temples, etc. That's a whole different design layer of the game that wouldn't make sense if it were only applied to fighters. Is there a desire for this sort of general layer to be added to the game? Perhaps that sort of thing could be added as high level "prestige backgrounds" that you can pick up some time after 9th level. Perhaps each class is limited to specific choices.
In an ideal world, each class would have different ways of engaging with each pillar of the game to accomplish similar or overlapping functional results.
See, this is not at all what I want. I want some classes to be better at some things than at others. I want most (if not all) classes to have holes in their capabilities. D&D is a party-based game, and I want the party's composition to have a significant mechanical effect on their ability to accomplish different tasks via class abilities, not just a flavor effect on how those abilities work. If you don't have anyone with the ability to disarm traps, then you should have to find another way to deal with those. If you don't have any front line tanks (often my groups focus more on squishier damage dealers than heavy armor wearing meat shields) then you'll have to adjust your tactics. If there are no strong healers, you act differently. If no one has outdoorsy capabilities, or social capabilities, or urban capabilities...things change. 5e already gives anyone the opportunity to get some of that stuff through skills and feats, so the only place left for holes is in the classes themselves.
How you phrased this question is telling.
First, the fact that you framed it as 'we need to give Fighters out of combat stuff' means you are only open to a very narrow range of options for how to fix class imbalance. The fact is there are a lot of ways that Fighters are heavily limited IN combat now you don't acknowledge. That means a wide variety of solutions are probably off the table for you already.
I'm fine with in-combat solutions. I think the fighter works fine as is (and I like to play pretty much all classes), so I'm just trying to understand the other viewpoints. Most of what I'm seeing relates to fighters out of combat, so that's how I phrased my questions.
Second the fact that you used 'Wizards need to have Fighter stuff added to them if we give anything at all to Fighters' sounds defensive and strange. The Wizard can already end combats in one round in many ways. The Wizard can take on foes that Fighters have absolutely no chance against. The Wizard can choose when and where to fight far more than a Fighter ever can. Why on earth do you immediately go there?
As I said it's not a perfect analogy. My mind goes there because it immediately feels like the same conceptual idea (not necessarily mechanical). Something that seems to not fit the class. Ie, wizards are spellcasters, giving them unique abilities with no relation to casting spells, seems the same as giving a class that is designed as a physical combatant unique abilities with no relation to physical combat. Again, focus on the disconnect I'm seeing rather than specifics. I'm not trying to justify or convince anyone here. I'm saying that this is how it looks to me and I'm trying to understand what other people are seeing that I'm not.
Third, why are you thinking if one class gets better, then it's automatically unfair to another class? Bringing balance means it's unbalanced now, and by definition that means some classes need to be buffed more than others. Do you just fundamentally disagree with the idea of imbalance existing now? It seems like you might.
There's some imbalance, but fighter is within my personal tolerance range.
It's not about balance, it's about class identity concepts.