Yes, and I think this is a good thing, for Bitcoin, because it is then treated like a currency. Exposing Bitcoiners to fiat also works vice-versa, after all.

If Bitcoin is best, it can demand a premium because many producers will want to convert to Bitcoin after sale. 

 I'm thinking cashu could serve as a universal wallet and people could swap internally, right? That lowers friction. 

 Hum. 
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 Yeah, I guess. A kind of interim exchange.

Probably spaghetti code, tho. Too complex. 

 The main problem I see there, is that people will get lazy and leave everything in eCash. 

 Ah and in my humble opinion shitcoiner never act out of principle. They create money out of thin air, come up with use cases that never are actual use cases after a short hype phase, but once people are hyped up they dump their bags on them to enrich themselves. Which leaves us with the single use case: Prey on people's gambling addiction. Some people are not creating these coins but believe the creators lies before trading them themselves or being dumbed on. Nothing morale about it.  

 I agree for most shitcoins. But there are some with useful real world usage, like Filecoin for IPFS.