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I would use one as a source of universal online ID in account recovery, not for everyday use

If it were e2e encrypted or had the same rules as the post office has to follow about when they can spy on your mail I would be fine with it.

The post office tracks who sends mail to who for everyone.

Estonia gives a government email address to its citizens. I use it for some real world services, especially related to government. I kind of regret it, because the address is now inundated with spam. Apparently some of these services made that information publicly available.

For official functions yes. As for trust, i trust my gov more than google