Full brokages are perfectly concentric.
The fully concentric brokages I have seen are perfectly rim lipped on both sides.
I have never handled a part brokage, but I would expect the the impression of an incuse rim would be seen on the brokage.
You tend to get domed coins with capped dies. I follows that there should be a tendecy for this to happen with a brokage, but usually the retained coin strikes a new coin once only, before the press is stopped or the retained coin falls out.