A brilliant post; the point being different things do different things.
In answer to the OP, this was something that confused me at the beginning of my DSLR journey - why buy a 70-200 lens when I can have a 70-300 or a 18-200?
The answer is that typically the trade off in increased focal range is a decrease in optical quality. A lens designer who is making a lens for only 50mm length (a fixed focal length is referred to as a prime lens) can invest all their time in designing and testing the optical performance at one focal length.
If they then were asked to design a 50-51mm zoom lens, then that's two focal lengths to design and test to. then designing an 18-200, there are many things to test and consider which pull resource away from optimising IQ.
As mentioned above, another consideration is that the largest aperture (smallest f number) is likely to be smaller (larger f number) when the focal range is greater; which means it isn't very good in low light situations amongst other disadvantages (but aperture is another topic completely, best saved for another day!)
The 17-100 lens was likely used because the situation either made changing lenses difficult or they couldn't carry two or more lenses to cover the range they wanted.