Yes, this is very similar to the path Eurodollars took to legitimacy. Both (originally eurodollars now stablecoins) were originally eschewed, then firmly embraced once they saw that it helped cement hegemony of the dollar.

As a corollary to this, Bitcoin will start appearing on asset on Central Bank balance sheets. It is structurally good to have an asset that appreciates forever and positively responds to inflation. The key good is that it is not another debt-instrument, but a pure asset.