This is the post-Crisis Superman, not the Bronze Age. The Bronze Age Superman is the version that started with "Kryptonite Nevermore" in 1970 and was last seen in 1986, before John Byrne restarted Superman with "Man of Steel". Bronze Age Superman did appear in Convergence week 3, but that's clearly a different version of the character than the one that married Lois.
I have seen the Silver Age described as lasting until '85 or so (with "Crisis on Infinite Earths" being the end). Either way, the Superman in "Lois and Clark" was the '85-2011 Superman. (And, as stated above, there were arguably three iterations of Superman during those years.)
One would argue that the post-Crisis Earth had to have existed despite the change in the outcome of the Crisis, or else this Superman and Lois Lane could not exist since they are native to that timeline.
Simplest explanation there would be that Superman and Lois were outside of time when their native timeline was destroyed/over-written. Either way, I would assume it is gone.
By that logic, the New 52 shouldn't exist either as it was the result of subsequent multiverse tamperings. But there is a simple explanation to explain how any post-Crisis universe exists: The multiverse having been restored to infinite universes contains any and every possible outcome.
At this point, it is easiest to assume that nothing pre-q4 2011 counts unless DC says otherwise. There are usually logical contradictions following various resets. They might get addressed. They might not.
Preventing "Crisis" also wipes out "Multiversity". (52 universes =/= infinity.) Of course, given that "Multiversity" was being drafted in '06 as a follow up to "Infinite Crisis", it is not reasonable for DC to keep it nearly a decade later. (Still, I would like to see more of Morrison's Earth-10, unlikely as it is that DC will use it.)
And, if we assume that "Crisis on Infinite Earths" (and whatever follow-up) has been removed, then we should probably assume that DC is going to redo "Crisis on Infinite Earths". The Anti-Monitor showing up in "Justice League" supports this.