I'am curious to know where to find the information that the II Pz Bt/33rd PzRg was attached to the 116th PzDv.
It was in Zetterling's
Normandy 1944: German Military Organization, combat power & organizational effectiveness.
You are right about the
I./PzRgt 24 (from 24. Panzer) being the
Panther Abteilung attached to
116. Panzer for the Mortain counter-offensive.
Yet the
II./33 PzRgt (the
9. Panzer's
Panther Abteilung was unusually the 2nd) was actually attached to 116. Panzer during its short-lived appearance in Normandy in the Alençon-Argentan sector from ~August 10th to August 15th, when it was sent back across the Seine. Its
8. Kompanie (Oblt. Langhammer) fought in Argentan on August 14th with the
I./PzRgt 24 ... under the authority of
116. Panzer. Easy!

Hence why I've mixed up the two of them ...
There are indeed a lot of pictures around on the internet labeled "9. Panzer in Normandy", but most are highly debated.
i.e. the "famous"
Befehlpanther '96' usually attributed to
9. Panzer doesn't match this division's small & hollow lettering, as depicted on
this one (AFAIK, the only undisputed
9. Panzer's Panther picture in Normandy). Same with all the pictures displaying a Panther with a road wheel attached to the rear of the turret, like
this one: it was a trademark of the
I./24 PzRgt.