Does the platform issue a certificate after the webinar?
No. Nothing is generated, signed or awarded automatically. If your audience receives a certificate, it comes from you or from a service you already use, and your page simply carries the link attendees need to reach it.
Can I prove that a specific person attended?
You have the record rather than a service. The attendee list keeps attended, no-show and waitlisted statuses, which you mark from what happened in the session, and exports as CSV or PDF for exactly this kind of question later.
Should I mention certificates before the session?
Yes, and precisely. Say whether a certificate is issued, by whom, and what attendance requirement applies. An expectation stated after the date reads as an apology; stated up front it just sounds like good planning.
Is this feature coming, or is the answer no?
The honest answer today is that we do not generate documents, and no date to promise. A link to a certificate you produce yourself is the supported route, and it covers most of what people actually need from this feature.
What do I tell people who were waitlisted?
That they had no seat, and that a place at the next date is theirs if they want one. A waitlisted name should not be in the certificate run, so the follow-up message to that segment is worth writing separately.