When creating a new tag via shell cmd or within PhpStorm and add a description, then the description is shown in the "message" field in the webhook payload.
If creating a tag in Bitbucket itself incl. description, then the "message" field in the webhook payload is empty!
Checking the tags incl description via shell (git tag -l -n) shows the added description, so I think it is a bug in the Bitbucket platform, that the description is not added as "message" in the webhook payload when creating the tag directly in the Bitbucket platform.