Yup same here. Perhaps a better experience would be to first just reach out with a "normal human being" email and later on either side of the conversation can just CC: schedule@example.org address to the email reply.

Downside: now this (external) service knows what you're talking about

Upside: now this (external) service knows what you're talking about - and can create a meaningful name & description for your meeting request (and you'd have some searchable history etc)