From how high you can drop it onto concrete and how many ounces of beer before failure.
Seriously, something like the falling on concrete spec would really help give an idea how well put together something is.
Someone will read it, then film themselves dropping it on concrete and post it on YouTube, probably with a comment that Mesa refused to warranty the product because it was obviously dropped and still had concrete dust on it. If it's at all damaged that video will be used against the manufacturer for years.
Rather than list a drop spec I think the reliability is indicated in the 5 year warranty and decades of satisfied customers.
If there's one spec I don't give a sh*t about it's THD. I'm never going to be in a position where I'm going to be comparing two bass amp spec sheets and making a decision based on which amp produces X watts at 0.1% THD.
On that note, I only loosely care about wattage, and that's primarily to judge what class of amp I'm looking at. If it's ~800w then I know that I should be comparing it to other ~800w amps. The exact number is inconsequential.
The specs that do matter to me are the specs/descriptions that help me better utilize the features on the amp or avoid damaging equipment. Frequency centres and sweeps, behaviour of tone controls (voice, bright, deep, etc. How to hook up multiple cabs, etc.
I think Mesa does a really good job in this regard by plain english descriptions of functionality, then reinforcing it with actual data when applicable. One addition I'd find useful is better visual references, and in that regard I really liked this Strategy/Prodigy review produced by Bass Gear Magazine;
I really liked this Strategy/Prodigy review produced by Bass Gear Magazine;
Bass Gear Winter 2014
The visual references give me better understanding of what's going on than can be articulated via text, and comparisons give context. Using the voicing control as an example, the image created in my mind using the text in the manual didn't match the curves that were produced in that graph.
As someone already mentioned, it might be worth having this level of detail and maybe some commentary on design philosophy located on the website rather than in the manual.
Edit - Fixed link