Hi @ClarkyPA365,
This Mail connector is different than the Office 365 Outlook connector since it does not require access to a mailbox to send an email. Since no mailbox is required, there is no monitored mailbox to send a response to.
So if you want to send an anonymous email to another user, the Mail connector is better.

There are many scenarios where we want to send an email out but don’t want to create expectations to the recipient that if they reply that it will be sent back to a place that is actively being monitored. These scenarios may include notifications or reminders where the author of the flow has no interest in receiving updates but wants to ensure that the notification is sent.
However, to communicate in company with each other, Office365Outlook is better because we need to track the communication and keep the evidence.