My way of shooting is to find a point of view and choose lenses in accordance. I often find myself pretty locked in, standing on a cliff (to get elevated view) or just having a few centimetres to move to get around stuff in that would disturb the image. So I find zooms a blessing.
The first day I spent in Grand Teton National Park I used 31 different focal lengths, from 12 to 800 mm. The focal lengths 24, 35, 50 and 55 got most use, those were on DSLR, of course. But I really feel that zooms have a merit.
Personally my favorite is the 75-150. Yes I know it's a zoom but mine is quite sharp and I enjoy the flexibility, and if I could only have one it's the only one that wouldn't limit me so much I would quit shooting. Of course i've retired from any portrait work and don't ever shoot people anymore but normally tack sharpness maybe isn't the number 1 quality one would look for in a lens when shooting this style.