Task creation triggers the "documentCreated" core event too early

The CreateTaskUnrestricted#createTask method creates the Task document in the session before having set its process id (= workflow id), and by the way other task properties such as name, type, creation date:

DocumentModel taskDocument = session.createDocumentModel(parentPath, docName, taskDocumentType);
taskDocument = session.createDocument(taskDocument);
Task task = taskDocument.getAdapter(Task.class);
if (task == null) {
	throw new ClientRuntimeException("Document "
	+ taskDocumentType
	+ "  can not be adapted to a Task");
}
task.setName(taskName);
task.setType(taskType);
task.setProcessId(processId);
task.setCreated(new Date());

This is a problem because if you we have a listener on the documentCreated core event triggered by such a Task document creation, then it won't be aware of these Task properties.
Typically we need to have the processId for instance to fecth the workflow input document.