In my opinion there are actually only two possibilities regarding DOGE.

1). It will stand the test of time, giving it more and more legitimacy as the only meme-coin to actually having some kind of stable, long-lasting value.
I don't know many more cycles of crypto it would have to survive of this to happen, but just imagine it still is around in 30 years or so.
How wouldn't it be somewhat valuable after all that time. And given inflation etc. it falling below 0.01$ is also more unlikely as time goes.

2). The meme will die at some rather near time in the future. Maybe due to some hack or gigantic dump or just something unforeseen happening. Then it'll fall way below 0.01$ after some more time has passed.

Cheers,
Gift