It is, I do -- inbound email forwarded to gmail, outbound from gmail goes out through my server and while it's obvious it's from gmail, it doesn't actually include my gmail address anywhere.
Sending from Google's servers using my address would cause SPF and DMARC failures, so if you want to do that then they'd have to make sure it's clear that the mail is actually from gmail.
Sending from Google's servers using my address would cause SPF and DMARC failures, so if you want to do that then they'd have to make sure it's clear that the mail is actually from gmail.