Gallery photos of Stab Tigers numbered ‘I’, ’II’ and ‘III’ all show star aerials mounted, but not on the left side of the engine deck.
Starting around 1’09” in the linked video is a well-known Tiger in action sequence. Stills from Criticalpast.com show a turret cross, a star aerial on the left side (with arms flattened), and a turret number which looks like ‘I’. The front right flap outer panel is bent down, matching gallery photos of ‘I’ in summer 1943.
Confirming the switch of at least one Stab Tiger’s star aerial to the left deck mount, starting around 1’45” in the same video we see a Tiger commander liaising with an infantry Oberleutnant.
The commander matches this photo of Hauptmann Clemens Graf Kageneck from the Combat History of 503. Kageneck was 503’s commander from June 1943 into 1944; we would expect him to ride Tiger ’I’.
Grabs and stills from the video show an aerial on the left side (smoke pots pointing forwards), with the joint where the arms of a star aerial would meet the antenna rod.
This Bundesarchiv photo of a Heer Tiger is by correspondent Lohse and dated August 1943. The Bundesarchiv has one more Tiger photo from Lohse online, showing 3./503 and dated 13th August. Behind the driver's lid are two arms of a star aerial mounted on the Tiger’s left side.
Is this another view of Tiger ’I’ or of another of the Stabs Tigers?
This gallery photo of ‘II’ might have a matching impact beside the driver’s visor, though the star aerial is mounted on the right.