Primes, zooms, anything that pleases you is just fine.
For myself, it boils down to native suspicion, a bit of common sense and a lot of experience with primes. Primes, as has been pointed out, obviously permit more fine-tuning at their focal length than will any zoom - a zoom has to be a compromise at every length with preferences at the maker's disposition. Primes, if you shoot enough, let you get to know them intimately, so well that you automatically know where to stand in order to get the field of view that you want; you don't even consciously think about it, you just do it. You also learn when you would be better off using a longer or shorter objective than the one on the camera. There isn't the temptation to be lazy.
Also, if you are a pro, you know what the job is going to require before you set to work. You simply take the stuff with you that the work requires. The idea that you might say damn! I should have brought this, that or the other lens instead, is a non-starter. You think the job through beforehand, even if you haven't been cursed with a layout you still know how you envisage the thing. Okay, long trips are a different matter, and I, too, would take pretty much even the kitchen sink; day jobs are not like that, in my experience, YMMD.
Where I do see the appeal of a zoom is for the amateur blessed with time, money and an open mind - or even an empty one - regarding what he is going to do. Maybe he shoots lochs or fiords from a boat and has no control of where that's going to sail; maybe he just doesn't want to spend more money on his hobby than the kit lens that came with the camera - why should he feel obliged to stock up on expensive primes?
So, long experience in primes but what about zooms? I never did feel attracted and no respected reviewer of my period, that I'd read, had any great things to say about tested zooms re. pro photography. Then a couple of years ago, feeling my age and wanting to be abe to have a single camera/lens combination for walkabout shooting, I bought a 2.8/24-70 Nikkor G. Unfortunately, there were and still are no places here that I can find such lenses and try 'em out pre-purchase. So, I ordered the thing and when it arrived, I realised at once that it was a mistake. It was friggin' huge! A walkabout camera/lens combination, did I say? Anyway, I tried it out, on the massive Gitzo, using the D200 that was all I had at that time. It sucked, even on that cropped format! It went back and I had to spend more money buying something else I didn't really need, but that was my way out of the mistake.
But, that's just my experience. I know of other photographers, very good pros, whom use zooms much of the time. Hey ho.
Rob C