1. Rods reduce your suspension articulation. I've done the math/measurements and doing over a 25mm lift puts you into no-no territory for the bump/droop ratio. You're also essentially running around in extended mode which is not good for your compressor or CVs or ball joints.
2. If you get an EAS failure, you can't get home. My 265/65s do not rub when fully aired down on a flat surface.
Note/Edit: Your setup with 35"s is obviously a huge outlier here, I'm talking specifically about stock trucks
Fair assessment. Do the rods reduce articulation if the truck is left in normal mode? I know they absolutely do if you're running in off-road height (i.e. extended mode for non rod trucks). I know that a truck with rods is not in "extended" mode full time. As for the EAS failure, that's going to happen regardless of whether you acheive your lift via a GAP tool or rods. The limiting factor there is the size of the tire. As to your last point, you're right...my new rig is an outlier. It's running an SYA kit to prevent that fully aired down rubbing, but it also has lift rods and a custom height setup with a GAP tool.
@Scott Brady summarized it well elsewhere on here:
"I believe the rods and the IID Tool are the appropriate solution, though primarily to shift the maximum adjustment range for using the IID Tool. The IID Tool can only lift the trucks about 20-50mm (on average) depending on how far the sensors are up in their calibration range. For example, I could only lift my Range Rover 20mm with the IID Tool, because one of the rear arms was already nearly 200 on the cal.
By installing the rods, it moves the truck up and then you can fine tune with the IID, reducing the lift slightly or even adding a bit more. For the LR4, I found that the rod lift + 10mm in the rear was about the maximum we could go and still reliably achieve "Off-Road" height.
Given that a suspension "lift" with these cars is only a few rods and an IID Tool, the cost is low. Go with the best solution and do both."