These pics were from the ad the previous owner ran. Note how the 12.50s stick out, especially in the rear wheel well. There is little clearance here, and that's with 2.5" lift springs. The tires rubbed on the wheel wells on driveways and speed bumps. I installed 3" shackles, which gave me another 1.5" of lift at the axle, totaling 4" of life at the rear axle. This is the minimum lift that should be considered with 1250-33-15 tires and uncut wheel wells. Better would be 4" lift springs plus extended shackles, and I may wind up going that route.
You can see the extra clearance in this pic from the shackles (and a wee bit more because the roof and doors are off).
Another issue is that the width of the tire needs to be carefully checked against all possible rub points. At full right turn, the left tire sidewall was being scored by a zerk fitting on the steering. This was a 90 degree zerk. I replaced it with a short straight zerk and had no further problems.
And yes, the wide footprint does float well, especially on sand. My tires lacked grip though on marginal surfaces, so I had them siped. Chain clearance is very close, and a deep rut will cause link strikes on the wheel well. Another reason to install 4" lift springs.
Overall, I like everything about the 12.50 width EXCEPT the issues with the rear wheel well openings. I'm not going to cut them, and these tires barely have any wear, and at the rate I'm driving the FJ40 the tread will last at least 20 years or more. The economy is so bad that I'm not going to get a lot out of them if I sold them, so pretty much I'm stuck with them. Id much rather have 10.50s, and that's my suggestion, which is why I posted all the above, so you can see the issues. If you have cut wheel wells, get 12.50s and don't look back.