unless the account isn't important - don't. By the time you have a setup that isn't at the mercy of ISP outages, blackouts, misconfigurations etc. you have invested a load of time and money for not much gain.
I've managed to wean all but one of my clients off self-hosted email. They are paranoid and insist on keeping it in-house. It's such a big time suck to deal with spam filter tuning and blacklist removal requests and the like, but they keep paying the hourly rates for it.
From what I gather, yes, that would work, but no, it wouldn't. Apparently all non FAANG mailservers are one misstep away from being put on all blocklists in perpetuity with minimal chances of appeal.