Did anything in the show reveal that this was Kang the Conqueror or does that knowledge only come from breaking the fourth wall sources (casting info etc.?)?
He said that some people call him a “conqueror”, but the word “Kang” was never used. As far as any deep cuts that would make sense to people who read the comic books, elefino.
Nothing obvious that I’ve spotted but there are multiple hints. Apart from the “Conqueror” reference the mystery man mentioned, at the beginning of the previous episode there was a (wrecked) version of the Stark/Avengers Tower with “QENG” on it; on Earth-616 Tony sold the tower to Qeng Enterprises which is tied to Kang the Conqueror.
Also in the comics, Kang fell in love with Princess Ravonna Renslayer, a familiar name. She later became the Terminatrix to battle Kang. It’s all very confusing.
I’m pretty sure that Kang’s Citadel, like the TVA itself, exists outside linear time.
The Statue at the end was wearing the classic Kang outfit also.
Thing is though the TVA has lineary reset (to an overt Kang in charge of the TVA) after “He Who Remains” is (apparently) killed by Sylvia. And since in that TVA Loki is not recognized, then the exisiting complete multiverse is likely Loki-free (other than “our” Loki and presumptively Sylvie … past the end of time in The Citidal.)
Assuming “He Who Remains” was being truthful, so far as it went, he knew in advance there were two options as they went past the end of time: the Loki power couple work with him to take over the thankless task; or he is killed, almost assuredly by Sylvie). Before such happened he sent something for Renslayer to review, and she, stil believing in the importance of the mission, went off to somewhere/sometime. To this v-Kang in the 30th century? Or …?
Whatever he had Rensayer do was in anticipation of his death. (If not killed he could send an alternate set of instructions.) The bit that he did not seem to have anticipated was Sylvie porting “our” Loki away, back to the TVA, before killing him.
Another strange question. If the End of Time returns to the Beginning of Time, then Sylvie may be left in The Citadel sans Kang … in this multiverse version could the Kang stature be the false god and Sylvie be She Who Remains, having come to that, left there and seeing the multiversal war unfold?
I liked the finale well enough. I hadn’t thought they would introduce a new character like Kang, because I didn’t think there was time for it, with all that had to be wrapped up in one episode. But I was wrong - they just didn’t wrap any of that stuff up. On to season 2! 
Overall I thought the series was quite good, although a bit handwavey and rushed for my tastes. For the three Disney+ shows, WandaVision is my favourite by some distance, with Loki #2. I’ve enjoyed them all though.
Whoops.
So, Loki got teleported into a TVA where Mobius and B-15 don’t remember him. Is this a different universe, then?
So it is written, so it shall be done. 
They did try some explanations, but mostly just extended the story lines. It was a fitting end.
My understanding was that the prime timeline no longer exists and it has branched off so much that it’s core is gone. The TVA was outside of time but still was created by the results of what happened in the multiverse since a different Kang apparently won this TVA has no relation to the previous one aside from the same people that were grabbed and mind wiped.
So yes, different universe/timeline but the original one shouldn’t be out there somewhere.
I don’t think the prime timeline is gone - ostensibly, all the MCU movies we’ve seen to this point were taking place in the “prime timeline,” and I doubt that those were all just erased from continuity. But it’s no longer the “prime” timeline, just one out of many.
The ending does seem to violate the established rules of time travel for this setting, though. Moebius shouldn’t forget who Loki is because someone changed the timeline - the Moebius who remembers Loki would still exist, and there’s be an alternate timeline with a Moebius who doesn’t. But the TVA exists outside of time, so maybe it works different for them?
The other possibility is that Moebius (and the rest of the TVA) have had their memories altered by this new Kang, much like they had their memories altered so they’d forget they were originally variants. Not sure how that would work with the sequence of events we see, though.
Maybe. At a minimum you’ve got unlimited branching realities until 3000 where one Kang wins and then goes back and prunes realities so he wins in all times. In theory the MCU could still exist in the timeline that leads to the current Kang as well as the previous “one who remains” since they are far enough in the past it might not matter to his rise. But the TVA can only have one existence outside of time so it must have been completely wiped and rebuilt by new Kang.
If they’re actually being self-consistent with how timelines and the TVA work. Which I’m not all confident they are.
Besides which, as we should all know by now, people assume that time is a strict progression from cause to effect, but actually from a non-linear, non-subjective viewpoint, it’s more like a big ball of wibbly-wobbly, timey-wimey stuff.
So Kang is basically Rick Sanchez and next season we are getting the council of Kangs.
Other way around. The Council of Kangs dates to 1986 (in real life).
I really, really, wanted Loki to see the Kang statue at the end and either
a) shout really loudly KAAAAAAAAANGGGGGGG while grimacing
b) fall to his knees and say - " You finally really did it. You maniac! You blew it up!
I confess to shouting that at the screen when I watched the episode.
It is a different multiverse, or a reset one, one in which they don’t just don’t remember him, but one in which no Lokis exist, or at least matter enough to be of TVA concern.
That’s more than a different Kang won and is not bothering with a cover story. More than just not knowing this Loki.