The most common production mistake is a mismatch between the expected provider and the actual record target. A records might still point at an old server after a migration, or NS records might show that the domain is delegated to a different provider than the team assumes. That usually creates confusing partial failures where one network works while another still sees stale answers.
Email problems often come from MX and TXT, not the website records. If mail routing, SPF, DKIM, or DMARC entries are missing or malformed, the website can remain fully healthy while customer emails fail. This is why the route shows all major record types together rather than only the web-facing ones.
Finally, remember that correct DNS does not prove end-to-end availability. Once the records for fastly.com look right, move to IP ownership, ping, and status checks to confirm that the resolved target actually responds and belongs to the provider you expect.