For my website, I own the url and pay siteground to host it. If siteground and I have a falling out, I can take my content and my url somewhere else. Isn't the

For my website, I own the url and pay siteground to host it. If siteground and I have a falling out, I can take my content and my url somewhere else. Isn't the same true for email addresses associated with that domain? Can't you get another cloud provider to host, so you can always access email-based password recovery? (I'm ofc talking about @mypersonaldomain.com addresses, not @gmail.com or whatever.)