If, for example, the price of BTC stabilizes like stablecoins, I will continue to hold BTC and continue buying BTC. If the price is stable, there's no harm in buying BTC. If the price is stable, the potential for a price drop will be difficult, indicating that many people are holding BTC.
However, I don't think BTC will be stable in the future because people certainly want to profit from buying BTC. However, I think BTC fluctuations may not be as high as they used to be. However, those who invest in BTC and hold it long-term will still profit, even if the price is high in the future, as BTC will certainly have the potential to continue to rise.
What's your reason for investing in Bitcoin? I'd bet you're like everyone else, profit comes first. So tbh , I'm a bit skeptical of people who say they'd keep buying BTC and holding it longterm even if its price became stable.
Then again , OP was just tossing out a hypothetical scenario. Bitcoin's volatility may come down over time, sure, but it'll never be as stable as a stablecoin . And as long as there's still money to be made , people will keep investing in it.
My reason for buying BTC is to seek profit, and indeed, everyone certainly does. If the price of BTC is stable, there will likely be fewer people buying BTC, especially those seeking profit.
However, if I could, I would still buy BTC if I had discretionary income, even if the price stabilizes in the future. If the price is stable, we could use BTC for international payments. But what's clear is that it will be something, because we don't really know what will happen to BTC in the future. However, it seems like BTC has the potential to have a bright future, regardless of whether the price stabilizes or not, because BTC has many advantages, one of which is its decentralization and limited supply.