You don't need any auth to send an email from your domain, or in fact from any domain. Just set whatever `From` you want.
I've received many emails from `root@localhost` over the years.
Admittedly, most residential ISPs block all SMTP traffic, and other email servers are likely to drop it or mark it as spam, but there's no strict requirement for auth.
> Admittedly, most residential ISPs block all SMTP traffic, and other email servers are likely to drop it or mark it as spam, but there's no strict requirement for auth.
Source? I've never seen that. Nobody could use their email provider of choice if that was the case.
You can, but most email providers will immediately reject your email or put it into spam because of missing DKIM/DMARC/SPF