I wouldn't mind if bitcoin stayed between $10k-20k for a while, kind of like how it was stuck at about $3500 for months--but I'd rather not see it stagnating again either, so I'm a bit torn as to what I'd prefer. What I do know is that being stuck in a range that's close to the ATH wouldn't be a bad thing, and it's better than the last time bitcoin flatlined.
These plateaus bitcoin tends to have are healthy, I think. It's only when the price starts going exponential that I start to sweat, because I know that can't keep going forever.
I think it is too early for Bitcoin to become stable.
Also, if it is going to become mainstream then 20k is not enough, just take a look at the market cap.
Yeah, I don't exactly want bitcoin to become a stablecoin, and I don't think it's ever going to achieve that status anyway. It has been, is, and probably always will be something a lot of traders are going to be speculating on, especially if the futures markets take off. I don't know if OP meant that bitcoin could be stable between those two price points forever or only temporarily--but if there's another plateau, it's not going to be forever.
I do agree that widespread adoption would mean the price would have to be significantly higher than $20k, else not everyone could use it.