OtterCuber
Veteran
I fail to see how other methods will die out, if anything CFOP will begin to lose its dominance as other method are further developed. The reason the CFOP is dominate is because that's the method most people use, those people usually don't recommend or/and experiment with other methods thus, when people just getting into cubing look for a method, they just assume CFOP is the safest bet and will give them the best results. While it is the safest method to go with as there is a ton of optimization in algsets, tons of resources, loads and loads of channels with or dedicated to CFOP content, thousands more users than any other method (i:e bigger community) that doesn't mean you can't succeed with a lesser method, take Roux. Not only does it have the WB 3x3 OH Single, WB 3x3 OH Ao5. WB 3x3 single, and a sub-WR 3x3 Ao5 (despite a DNF). All of this was done by one person (Hello @UNO_FASY) which clearly shows that it doesn't matter what the majority says, CFOP isn't necessarily the best path.
I believe cubing will continue to gain more diversity and more cubers will begin to switch to other methods after seeing the potential and uniqueness of other methods. As more experienced cubers begin to use these other methods (Roux, ZZ, ZZ-CT, APB, Mehta, Nautilus) it will start to reach more and more cubers/new cubers and will in turn cause them to gain interest. Along the way some of those will switch to those methods and help spread it even more until one day it will have a very big influence and CFOP is no longer the default (Roux is quickly getting to this level).
I'll share my story: When I started cubing all I knew was CFOP so naturally I switched from LBL and gradually went to CFOP. Once I joined these forums, I discovered that there were other methods with users. I kept using CFOP because that's what I was used to and didn't see a point in switching although I did start using FreeFOP because doing a cross every time is stupid. I first began to really notice other methods when I saw @Cubing Forever using Mehta and making pretty good progress with it and considered switching but I was hesitant because of the weird ergonomics and out of all the different alg sets none of them really sounded that interesting.
When Nautilus was reintroduced I seriously considered switching to it because it looked really cool, I even learned NCLL and planned to switch to it on New Year's 2022, but I wasn't a big fan of NSB and NLS isn't much better than, say CFOP LS. I began searching for another method and when APB was proposed I began to do some solves with it and it began to grow on me until I eventually decided to switch to it, I believe I was the first to main the method (@Athefre correct me if I'm wrong) and I really enjoy it. I personally like variation in my solving and I use a lot of less common method, Lin for squan, Top-first for pyra, APB on 3x3, Hoya on 4x4-5x5, and I'm hoping to switch to LEOR-b for OH.
So no, I don't think other methods will die, they'll just get more popular.
Your knowledge of these exotic methods is very inspiring.