It's not immediately obvious to me that the lights are non-standard. The lamps (tubes) are modeled after the
Sylvania F40SW. The narrator goes on to say they most closely resemble T12 bulbs and measure 38.1mm. If that's the diameter they don't closely resemble T12, but by definition are T12 (12/8 inch). She states the length is 1.2m, which could be a bit short, but if she didn't include the pins that's about right for a 48 inch nominal lamp.
The troffer is a bit unusual. The lamps have normal G13 bases, so they must be standard sockets, but they look like they might be spring-loaded as there are no slots that'd otherwise allow for tube removal. The lamps appear they might have an outer glass surround. If they are being used in a cold environment, the glass or plastic sleeves might be for heat retention, which isn't all that unusual. You just wouldn't normally find them in troffers that are typically operated at room temperature.
Perhaps the least typical aspect of these lights is that they operate four lamps off a single electromagnetic ballast. This is the norm for later electronic ballasts, but 4-lamp magnetic ballasts were quite rare. That could explain the large case size, however, as these ballasts were essentially two combined in a single case. I don't know the exact dimensions of a real one, however, but I'm pretty sure they existed. The amperage (0.71A) is low for four 40W lamps. That's in the typical range for a two-lamp ballast.
What's hard to know is what differences are intentional and what might simply be a mistake, omission, imperfect rendering.