What's telling is the extreme angle at which the bulk of the light leaves the reflector. Look at the pattern shone on the toolbox by the one driver's side rotator with a working bulb. This video is proof positive that LED replacements cannot put light into the focal point of a parabolic...
This looks like it might be a photo of a video being played on a computer monitor. In this frame the text that I expect may be manufacturer's name is blurry. If you are able to play the video again, is the text clearer in another frame?
The strongest part of the roof is where the sheet metal curves from being horizontal on top of the cab to vertical above the doors or windows. This is likely why the various lightbar manufacturers specify in their installation instructions that the rubber pads on the mounting feet should...
Although the supporting evidence has dried up, the facts remain:
I'm sure you'll be happy with the straps themselves, but I feel like you may be disappointed with how far from the curved portion of the roof the feet land.
Shooting from the hip, the round black connector may be a 6-pin DIN.
The white square connector is a 9-pin AMP connector, listed with a Whelen part number in this guide: https://www.whelen.com/wp-content/uploads/2020/08/AMP_Connectors.pdf