Wider tires offer more comfort and grip. But as the tire gets wider, the overall diameter also increases. This in turn means your chainstays get longer, the front-center gets longer, the steering slower, and in smaller sizes the headtube gets too high. In short, the bike feels less and less like a nimble road bike and more and more like a garbage truck.
So what you really want is extra width without much extra diameter and this is what the 650b wheelsize offers. A 650b wheel with a 47mm wide tire has the exact same diameter as a 700c road wheel with a 28mm road tire. So same diameter, but triple the air volume, comfort and grip by going to a 650b wheel with a 47mm tire. And if you go to 54mm as fits on the 3T Exploro bikes, the air volume is almost four times bigger and it still only has the diameter of a 700x40c tire.
Sometimes people say they want to stick with 700c wheels when they ride big tires because they want to "change as little as possible”. But while it may sound like sticking to 700c is changing less, in effect you are changing everything about how the bike fits and feels, while with 650b the rim diameter changes but the way the bike behaves remains the same.