I've got lots of miles on a Shimano 3n72, limited experience with Kasai RB (150 miles?), and hands on but no riding experience with SON 28 (which is on my partner's bike). I've also used a Sturmey Archer drum brake/dynamo hub.
My hot take is that all of them do their job great: powering really nice lights and freeing me from thinking about charging lights or bringing batteries. The difference between dynamo hub and no dynamo hub is miles wider than the difference between the three dynos I've used.
Some differences I've noticed include:
My totally untested, purely self-validating impression is that the Kasai has less drag than the Shimano when the lights are off and on. But is that real? I don't honestly know. I couldn't say what the difference is with the SON, because I haven't ridden it. But people who test these things tell me the SON has measurably less drag. I believe them. I also don't believe my Shimano dynamo hub is the thing slowing me down! But I don't ride brevets.
The SON costs twice as much as the Kasai, and the Kasai and Shimano were nearly equivalent in cost. I recently chose to save $150 and get a Kasai because I wanted to spend that money on lights and other parts. And making that decision helped me buy other budget parts for the wheel build (Sun CR18). I just wouldn't feel right lacing a SON to a CR18.
Others have rightly pointed out that the Kasai/Shutter flange spacing seems needlessly narrow. I suppose only time will tell if that will be a problem. For my 170 pound self who tends to pack light-ish on camping trips and doesn't ride rough trails, I doubt it. If I was a heavier rider carrying lots of gear, I might spring for the SON.
The SON is, to my eye, the prettiest one to look at. For me, riding in a big city, that seemed like a liability rather than an asset. But I'm running a Deore rear hub and Deore v brakes and used parts from other builds. If I was running a white industries rear hub and Paul V brakes and rarely locked up on the street, I might think differently. For the record: I think the Kasai if a very handsome hub. Just not as jewel-like as the SON.
Really, I don't think you can go wrong with all the modern dyno hubs! If money's no object, it seems like you can't go wrong with the SON. The Kasai is really nice. The Shimano works great too.