My email address, me@chrismorgan.info, has been widely promulgated for many years. I get about five spam messages a day, and occasionally 10–15 a day for a week or two. I average around one false negative per month, and have had two false positives in the last three years (and neither mattered—in fact I kinda agreed with the spam filter’s judgement in both cases).

My email is with Fastmail, so I know that no emails are mysteriously disappearing (which seems to happen with providers like Gmail)—either the server rejects the email (so the sender will be notified), or it ends up in my mailboxes somewhere.

So my own experience is that sharing your email address publicly is harmless and useful.