Purely assumptions. All server admins generally run a form of blacklisting and whitelisting of domains that are known to be good or bad. It all happens in the background so generally you don’t see it. How much it effects you will end up depending on how spammers get your e-mail address and there’s not great way to measure that other than experience and chance.
It also depends if you are actually using an email account provided by your hosting service OR simply using a re-direct which forwards email from coolguy@yourdomain.com to realemail@gmail.com - a redirect typically does not have any filtering associated with it.