No, not at all. There are reports that even if you use G Suite, and whitelist your own domain to send yourself logs through crontab, your may still have problems with the email deliverability.
My own domain was blocked for nothing more than sending myself a list of a few dozen domain names through cron, which Google deems as containing malicious links, even though there are no links present.
My own domain was blocked for nothing more than sending myself a list of a few dozen domain names through cron, which Google deems as containing malicious links, even though there are no links present.