TOS didn't have hologram projectors or touchscreens or heads-up displays on the main viewscreen.....TOS canon was never defined in a way that would lend itself to that sort of discussion.
These things, IMHO, are due to TOS being very obviously a product of its time and its inherent limitations. I can't accept the notion that a TOS prequel series must look less advanced than TOS when our own observable reality is, in many ways, more advanced than TOS was.
TOS' canon was loose, but not that loose. They did go through the galactic barrier at warp 10ish on occasion and the speeds were ill-defined as a result, but otherwise it was relatively consistent I'd say. At the very least we should see holograms and such in a sufficiently retro way if that makes sense. I'm thinking along the lines of USS Franklin from Beyond. I liked that wee ship, it looked sufficiently retro and dated to be a ship from ENT era.
I don't understand what's so hard about trying to remain faithful while adding some modern inspirations here and there like the pseudo-holodeck in Star Trek Continues or the modernised retro Starships of Axanar.
I'll agree that as far as aesthetics go, TOS is very much a 60s show, but the stories and plots are timeless. The only episode of TOS that really gives it away as being a product of its' time is that one with the stupid hippies (God I how wished they'd just vaporise the ****ers).
ENT at the very least had keyboards and that submarine look. It didn't always work, but at least the set creators tried and imho I think they did a good job of making NX-01 interiors look plausibly less advanced than Kirk's Enterprise. It was a compromise, but a good one.
I gotta ask this, why are you assuming that Lorca in particular and Discovery and Glenn in general are indicative of what the rest of Starfleet is like? We know that Shenzhou was different, much closer to what we think a Starfleet ship should be like, and from those two examples you are saying that all of Starfleet must be like Discovery? This doesn't compute for me.
Shenzhou definitely felt more like a Navy ship to me too, but that's a matter of opinion I'll admit.
Hmm, yes, constant action where in the pilot two fleets are staring at each other intently until Burnham screws up. Where Georgiou is trying to use tried-and-true Starfleet methods of non-aggression. Where in the third episode we get taken on an excursion to Alien-land, where Lorca is explicitly characterized as more warmonger-ish than any other Starfleet captain we've seen.
Perhaps not constant action yes, but certainly more stabby stabby pew pew than there ought to be. I agree about Georgiou. Apart from using an enemy corpse as a weapon, I much prefer her to Lorca.
Lorca is operating Discovery like a warship, yes.
It
feels like a warship though, with or without Lorca, for the reasons I mentioned such as the uniforms and the somewhat formal and wooden way the crew behaves.
In DS9 we had the Defiant which was an actual warship, yet it still felt like a Starfleet vessel. I am perhaps projecting a bit here, but it seemed to me that if you were to compare Defiant and Discovery you'd find that Defiant still very much feels like a Starfleet ship with guns, whereas Discovery feels more like a warship. I feel like on Defiant you still have the benevolent Starfleet types and O'Brien and Bashir cracking wise, maybe some nihilistic Garak for a few chuckles.
And that's the other thing Discovery needs a bit more of, are the lighthearted moments, the odd joke here or there. In fact I'm pretty sure one of the reasons I enjoyed DSC episode 3 more was that there was a bit more humour here and there.
EDIT: I always though Voyager had the strongest 1st season of the Treks, even for its' flaws.