Note: I am a tire tester and pro-reviewer of bike components (tires, etc.), the former for one particular large brand. But I am as full of it as the next person, so take it with a grain of salt.
Although I strive to be objective as possible in all my reviews and testing, tires are somewhat personal, and how they react and work for me, and my local terrain, makes it all the more difficult. So I try to be overly picky, and dig deep into their characteristics, and look for strengths and weaknesses in any terrain and conditions. I have tested tires on my Ibis Mojo HD (26 & 650B), Mojo Classic and Moots Mooto-XZ 29er, in any sort of terrain that Colorado, Utah, AZ (a few forays in SoCal) can throw at you. My local testing terrain is predominantly loose rocky conditions, with many long steep climbs and descents, rock gardens, slick rock, an occasional smooth singletrack and lots of ugly loose gravel. In the Colorado Springs area where I ride, we have Pikes Peak gravel (pea gravel) on most of our trails, and it's one of the most nightmarish traction eaters that I have ever dealt with. Cornering, braking and climbing can be a lesson in humility.
Harsh TK's =>
In regards to the 26" TK 2.4 (Black Chili version), I never found them to offer a harsh ride, at least at 18-24psi. They are still my fave tires of all time, and I have gone through at least 7-8 pairs. Found them to offer excellent flotation and traction in loose conditions, and they are sticky on slick rock, and are conformable and pliable in rock gardens. They have one of the fattest carcasses on the market at an almost true 2.4. Specified tire size by manufacturers are pretty useless, and are only a general indication of skinny, medium and fat widths. Other fat tire have more width in regards to their knobs than the TK, but not usually the carcass.
650B vs 26 =>
There is no way that the OP measured properly. Large 26 tire measure at most a hair over 27, 26 comes in from 26.5 to 27, while any 650B is 27.5 to almost 28, comparing the same model (NN 2.35) the difference is close to an 1 inch (give or take)
gvs_nz =>
How much experience have you had riding 650B tires and wheels? What are your local conditions that you ride? I find the 650B have better rollover than 26 IMHO, though obviously not a 29er. Personally in my local conditions, I don't like the MK2 2.4's, I find they aren't as sticky on rock ramps and don't offer near the traction in loose conditions, though they do offer better acceleration, rolling, faster steering, and are lighter.
MK2 2.4 Protection
Casing width - 2.25 inches
Casing height - 2.05 inches
TK 2.4 Black Chili
Casing width - 2.38 inches
Casing height - 2.27 inches