Hi Tim,
As per my knowledge there is no direct method to get dedicated GenIL class.
What I follow in my pratice to find GenIL class is:
1) From UI Component, we can get 'Component Set' and BOL Entity. in your example take
Component set 'BP_APPL' & BOL Entity as 'BuilHeader'.
2) Go to GENIL_MODEL_BROWSER, and display BP_APPL Component. within that search for 'BuilHeader', and Double click on 'BuilHeader', from this you will get component name.
3) Now go to SPRO ->IMG-> CRM--> CRM Cross-Application Components--> Generic interaction layer --> Basic Settings--> Component definition (find BP Component). Here you can find GenIL class as implementation class.
Hope this is clear to you.
Regards,
Devender