"Bitzenburger...not Blitzenburger. 8^).
Using tape with any magnetic fletch clamp is problematic at times. You have to get it on the magnet before you touch the shaft with the tape, or you will have misaligned fletch. Try getting the feather into the clamp flush with the edges.
Ease it onto the shaft until you see the alignment is correct. If you get it started correctly, you can simply press it with your fingers to get full contact from the tape. It's a pain in the keister, that's why I use glue most of the time...you can move the feather once contact is made.