The output of help report should probably mention more explicitly that this is not the intended way to create moderation reports with relation to things happening in the chat. I know that is mentioned under help reporting, but the existence of that is quite easy to ignore when the shorter option seemingly gives the relevant info.
Secondly, and more importantly, the contents of the logs attached to reports via the chat report UI should be clarified. The timeframe selector currently there makes it somewhat vague. Ideally there should be a preview of the included contents.
It should also be possible to control the inclusion of private messaging where its irrelevant to the case. I would at least feel quite uncomfortable forwarding logs even to the moderation team in certain cases where my private personal messages unrelated to some public incident are saved alongside the actual report.