Before sharing my email address with some person or some org, I do an MX DNS lookup on the domain portion of their email address. It’s usually correct. That is, if the result is not of the form *.mail.protection.outlook.com, then that recipient is not using Microsoft’s mail server.
But sometimes I get stung by an exception. The MX lookup for one recipient yielded barracudanetworks.com, so I trusted them with email. But then they sent me an email and I saw a header like this:
Received: from *.outbound.protection.outlook.com (*.outbound.protection.outlook.com…
Is there any practical way to more thoroughly check whether an email address leads to traffic routing through Microsoft (or Google)?
Barracuda provides email gateway security for any email server including Exchange Online.
There’s no way to tell unless you see the message route itself. To do that you’d need to see the headers of a message sent by you after it’s received by the recipient. This is simply the expected design of email transport.