Tried installing the Bluetooth logging profile to my iPad but following the directions took me to signing up for a developer account – I did it – and I assumed it would then let me download and install the profile but unfortunately it's not working for me here.

Well, that's annoying.  Thank you for trying.  

We're submitting a new release to Apple now that rolls back the change we made in the last release.  It was only a one line change to allow the app to go into the background instead of exiting when it's moved to the background, but that change seemed to cause a lot of problems for some people.