It seems to me that there is no observable difference between the "many worlds" explanation and the "many timelines" explanation. There are differences, for example does there "exist" a version of reality where CFC collapses for lack of Perf, it would seem the many worlds explanation says yes, and the many timelines says no (because that timeline ceases to be when Perf leaves it) but since there is no way to tell from either version does it really matter?
It can be discussed, this is a place of discussion, so yes it matters

Besides, many-worlds could also mean that one could - somehow (hey, we can already travel back in time) - return to ones own world. Or go to another world without time-travel involved at all (which would prove that many-world-theory is correct). Moreover, if many-worlds is incorrect, people may be very uncomfortable with the risk of non-existence and may want to ban time travel altogether. Religious may be afraid that their souls are gone or something.
But spontaneous appearance creates all sorts of potential conundrums. You could go forward in time until tech reveals how to make life, then go back so far in time that you introduce life as you designed it without any paradox.
See to me such "solutons" to time travel issues which postulate that one was "meant" to travel back in time - those are the ones that make no sense to me and which constitute a paradox.
For instance: Before I could time travel and create life - life had to already exist! That makes no sense whatsoever to me.
After some point of travel, the amount of matter twisted in time would begin to collapse itself though
Sorry but that made me laugh. And I have no idea what you just said
You're saying that I can make the timeline/reality/whatever I currently inhabit not exist, how much of a further stretch is it for me to make a new one?
Making the current one not exist is not a stretch. Time travel into the past is a stretch. Changing the future is not. Right now you change the future by whatever decision you are making. It is absolutely no stretch that you will do the same at whatever point of time you are.
The other thing that needs some careful thought is your usage of "gone". What does it mean for a time to be gone? What differentiates "gone" time from "non-gone" time?
That seems to only bring us back to the issue that we have no way to separate the two other than by saying "one/many was/were once, one is now". But as said I don't find this inherently problematic but only in so far problematic in that it would be cooler if we had some quantifiable way to separate the two.
It also could be the case that I didn't make the new timeline, merely traveled to it.
It could also be the case that I am Madonna.
Lastly I think the biggest issue is you seem to deny that when Perf comes to 1980B, he comes from anywhere, but that's clearly not the case. To understand Perf and his story you need to know about this alternate timeline, that alternate timeline is something that you need to account for. It is not merely non-existence. Simplicity is valuable only if it accounts for the known facts.
Physically Perf does pop out of nothing. As said this is what time travel necessarily is. For the moment of time Perf appears it hence makes no difference weather real Perf traveled back in time or a truly fake Perf with fake memories just truly popped up out of nothing.
It is a known fact even in time travel that if you never existed, you would cease to exist if you tampered with your existence.
Known tropes = known facts?
Problem with time travel is that when you time travel your muscle used to be cow. Your blood somevodys piss recycled. So unless your matter can go back in time without being recontituted into all the crap that used to belong in the past, you won't exist anyway.
Since it is called time travel and not time reversal or something that seems to be the assumption.
And if you somehow exist in thus timeframe despite all this, killing your mother isn't the worst offense to time paradox you have to worry about.
What paradox do you mean? That you can change the past to begin with? We can time travel into the past, that is also the assumption. Get over it

But you make a good point. The mere fact that we can time travel already establishes that we can
change the past. And from that follows that we can
change the future.
From that follows that we can destroy past and future as they were previously. Unless baseless assumptions like many worlds or nonsensical assumptions like absolute realities where it is all destined to happen come into play.
And since future is tied to the past, but not the other way around - duh - it doesn't matter weather I prevent my birth. I already changed the past on account of traveling back in time. I am already part of the past.
The time-paradox paradox (double paradox) is that if you kill your parents or stop you from being born, the person who stops you from borning (you) dissappear, so nobody is there for stoping your born.
Thanks Einstein for rescuing the thread.