The frustrating part of the DC vs. Marvel debate has always been that's it's not really DC vs. Marvel. It's WB vs. Marvel Studios.
DC's been under WB's thumb for a very long time. They never had the kind of creative freedom to produce their own films. They've always had their big studio parent company undermining their decisions and focus-grouping films into mediocrity. Marvel Studios managed to take the leftovers no one else wanted – Iron Man, Hulk, Thor, and Captain America – and come up with a plan to treat their movies just like their comics, to have them exist in the same universe.
After Iron Man became a huge success, Disney took note, acquired Marvel, but left them alone. The only time WB has left a filmmaker alone was when Christopher Nolan managed to successfully reboot their Batman franchise and deliver the first billion-dollar comic book flick. But that creative freedom also scuttled plans WB and DC had to relaunch the Batman and Superman franchises together and have them dovetail into Batman vs. Superman. (The disappointingly ill-conceived Superman Returns didn't help either.)
Marvel also had found a safe, successful storytelling formula; pit the protagonist against an evil doppelgänger. Iron Man vs. Iron Monger, Hulk vs. Abomination, Thor vs. Loki, Cap vs. Red Skull. That formula has continued with Ant-Man vs. Yellow Jacket, Doctor Strange vs. Kaecilius, and Black Panther vs. Killmonger. They found a great way to introduce audiences to these characters and build a movie brand moviegoers can trust along the way.
DC has had to deal with WB's meddling rather than their support. Three of their biggest tentpoles, Batman v Superman, Justice League and Suicide Squad, were all criticized for being watered down, homogenized after reactions by test audiences. We're talking about a movie studio run by men who never shot a frame of film. Their backgrounds are in finance and legal. They don't understand the creative process and they don't trust people who do (like just about everyone at DC).
WB also hasn't managed to find its Avi Arad or Kevin Feige. Both of those guys were integral champions to the success of Marvel movies, at Sony, Fox, and Marvel Studios. DC has Geoff Johns but WB doesn't seem to give him the autonomy that Disney's given Marvel Studios and it's not helping.
As for Star Trek, I understand why they went back to the NCC-1701. Poetically, only Kirk could save the franchise. Like it or not, that crew was what people remembered when they think "Star Trek."
The studio has managed to get people to see these movies again. Now they need to keep people coming back so they can continue to be profitable. That means more modest budgets, new crew members at lower salaries, and recycling bridge sets rather than destroying them.
It may even mean moving forward in the Kelvin timeline to reintroduce the crew of the NCC-1701-D.