the origin of $ is disputed/unknown, yes
but still, the meaning it carries today is not only that of its origin but of what it became
and today, $ doesn't mean good things 🤷‍♂️
besides, sats and other currencies that use $ in their symbols will coexist for a long time (possibly for long after we're dead). the moment when it's time to migrate from "sats" to $ won't be well-defined. $ will remain ambiguous for many people around the world. the turkish lira, argentine peso, and nigerian naira are still being used today despite, in practice, being dead!
is $1000 = 1000 sats? 1000 NZD? 1000 MXN? As we approach sat:usd parity, this will get more blurry!