Depends what you mean by self host.

What do you mean by it? Your own hardware on your own premises? Or hosted on a virtual server somewhere?

Is the net connection residential or business?

Top level domain?

There were practices at the time that automatically blacklisted SMTP servers run on residential networks when the ports themselves were not outright blocked, it wasn't just on residential they were playing those games either & I don't know about Google or Yahoo but Microsoft were doing dodgy filtering as were some of the ISPs here.