Some ISPs allow you to pay for a proper static IP to get around this problem, but again some of the ranges are still in the block lists. The only way I could guarantee that my IP wasn't blacklisted was to switch to a business account with my ISP and thus have IPs from a different range.
If you are stuck on a non-static IP, the easiest way around the problem is to send via the SMTP smarthost that your ISP hosts.
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[1] They are technically dynamic IPs, but are sticky in that you keep the same IP unless your router goes offline for more than a couple of hours.
And more recently, I'm still unable to send email to Verizon.net email addresses from a VPS because they too insist it's in a residential IP block. (it's not.)
For the first few weeks I had a VPS and moved a small business to it, sending anything to Gmail was a hassle as it was all automatically going to the spam folder. The typical responses from others was "find a new provider" even though checking blacklists showed the one I chose was just fine.
I too have run mail servers, and have seen enough to realize that it's definitely not a myth. It's just that there are enough spammers making a mess of things for the rest of us, which is unfortunate.
We end up on Hotmail/Outlook's blocklist about once a year. They remove it within 1-2 hours after opening a ticket.
I run mail servers. I believe the idea that mail delivery is a problem for small mail providers is largely a myth. If you act somewhat reasonable (that is: if someone complains to you don't ignore it, don't send spam, check your logs for indications someone might put you on a blocklist) it's no big problem.
I think the myth comes largely from people who are actually spammers, but don't see themselves as that.