The Aurora model predates TRO75 so the technical specifications are retroactive. If you go by TRO75, then yes, the dimensions are probably off (I think your math is, too, though the end result is similar enough: 116 m converted to N scale (1/160) = 116/160 m = 0.725 m (or 725 mm)).
MechWarrior is allegedly N scale, but N scale varies according to the country, because it is primarily a railway scale.
I measured the men and they are approximately 10mm tall. Using this, I assumed "N" to equal wargame scale of 10/12mm should be used. I only wanted a ball park figure at what the minimum length should be. You are right that the maximum length would be 725mm.
Also, looking at the two illustrarions of the Aurora, my impression is that the bays are more squashed and that the proportions of the whole ship are different; shorter and wider, rather than the long and thin look of the MW model.
The model does not have any kind of support gantries or anything in those 'Mech bays. It's abstracted, so it appears to have more room than it actually would.
However, as you say the stats are retro-active, and it is a pity that when the stats were done that the person doing them didn't check out the model's size before plucking some random numbers out of the air.
While I could buy the answer you give for a dollar, and it kind of fits with the Battletech aesthetic and the established "spaceship are bigger than their mass suggests", I'm kind of thinking umh, I'm not sure it makes sense. I'm not going to go any further down this road as I can hear the plaintiff cries of catgirls mewling in pain as their brains explode.
@ Freelance:
Sure the Aurora is an impressive model, but for something so big I would like it to have had stats that allowed it to carry more mechs, or conversely make it as small as it can be and still get four models inside for playing games with. YMMV.
