Going back to basics is one of the most used moves for any super-heroes that have been around for awhile. Wonder Woman is the one who has probably gone back to basics more than any other. But Superman has certainly gone back to basics on many occasions.
I wouldn't say going to the Earth-Two Kal-L Superman equates to the same thing. That's an invented character that never really existed before the idea was conjured around 1971. But I guess you could say that those stories also try to go back to basics, too.
I mean, just off hand, there were various flashback stories that told about Superman's early days. Or origin stories that used bits from the Siegel and Shuster story. Then there was Denny O'Neil's Sand Superman Saga that had Superman leaping tall buildings in a single bound. The SUPERMAN 1978 movie is really in part a retelling of the ADVENTURES OF SUPERMAN TV show pilot, which itself draws on the original Superman story. Certainly John Byrne used a lot of the Siegel and Shuster Superman as his inspiration for a back to basics Superman.
Nobody goes whole hog back into the original Superman stories because for one thing those weren't that well-written, to be honest (even though I like them a lot)--so it's a stylized evocation of a back to basics Superman filtered through modern ideas about how to tell a picture story.
And for another thing, and maybe more important to DC, there are certain elements of modern Superman that have to be retained. DC isn't going to throw away Perry White, the Daily Planet, the modern red S, Smallville, Metropolis, the Fortress of Solitude, Martha and Jonathan Kent, the super-vison powers, flight, the Phantom Zone, etc. It's not worth giving up all those properties just for the bragging rights that come with restoring the original Superman.
The fact is the period of 1940 to 2016--which is the period of Superman after the admired original Superman (notably edited by Vin Sullivan)--that after period has been pretty good to the Man of Steel, too. And there's a lot of writers, artists, editors who have added to the Metropolis Marvel's mythology. So while it's a nice idea to go back to some basics, I don't think anyone would be happy about it for long, not in its raw form.
So yes, there are moves to go back to basics, but there are other moves to restore some of those more refined elements invented by other people (or by Siegel and Shuster themselves) in the intervening 76 years.