The relative recent popularity of all-you-can-eat streaming of music and video vs. a la carte purchases would seem to support this view--although one could also argue that digital music and video purchases aren't really "micro."
But you can have automatic payments without crypto too. Hiding payments from the UX is what's actually solving the problem
ADDED: That said, it's not unrealistic to imagine a "hidden" micropayments scheme that deducts automatically and lets you know and/or just turns off if you hit some monthly threshold.
- pay a variable amount to the website you visit, based on how many visits and time you spent on;
- pay a fixed amount to a website of your choice;
Both options can be enabled at the same time, and the minimum number of visit, or the minimum length of the same, is adjustable;
Flattr[0] should be similar with fiat currency.
Pay $0.05 to read an article.