I thought maybe I had wired it to the license plate light wire instead of the brake light (same LED module, 2 wires)...but no. That's not it. The resister only sees voltage when the brakes are applied.As another thought on wiring it wrong, it should only see voltage when applying the brakes.

Rockauto listed the "high mounted brake" bulb as 13 watts which would be somewhere around 10-15 ohms.
Have you done any electrical measurements at the button panel? I had a bad solder on one of the switches that I only found with a wiring diagram and a multimeter.
Since I had the engine cover off this weekend for other reasons, I attempted to resolve my inoperable cruise control problem by removing the resistor I had in place (a 50-watt, 100-ohm), and replacing it with the 50 watt, 6-ohm one I purchased a few months back.
This did not fix my issue. After wiring the resistor in, I still see a constant 7.5 or so volts across the light blue wire without the brake pedal pressed in, and 13-14 volts with the pedal pressed in. So while I know I am using the correct circuit, it appears the ECM is not seeing a resistance load on the circuit that it expects and is thus, disabling my cruise control.
I do not have a third brake light. So, rather than the light blue wire running to the third brake light then ground, with a parallel connection ahead of the brake light, running to the 6-ohm resistor and then to ground, I simply have the light blue wire running to the resistor, then to ground.
@Lonny or anyone else, any thoughts? I do not really drive any highway, and this cruise control issue is not a huge priority, but I'd like to make it function if possible.
One of us is confused. His wattage is 50watt on both, with the resistance changing from 100 ohms to 6 ohms?The new resistor is the same resistance as the old one, the only change you made is that the new resistor can't handle as much power (watts).
With 14v with a 50 Ohm load, (14/50=0.28) is only 0.28 amps, which at 14V is (0.28x14=3.92) 3.92 watts, the new 50 watt resistor is still well within its' working range. Electrically, you changed nothing, so no surprise it didn't fix anything.
I would start looking other places. Are the pedal switches working correctly? Switch panel working? Fuses? Grounds?
With the hood off, you could test the 2 resistors in parallel (25 ohms resistance) or in series (100 ohms). Maybe the ECM will recognize the load.
I read it wrong. Sorry guys, I'm the goof ball who got it wrong.
6 ohms (2 bulbs) would be 14v/6ohms=2.33 amps, which is 32.66 watts.
4 ohms (3 bulbs would be 3.5 amps, which is 49 watts.
Have you done any electrical measurements at the button panel? I had a bad solder on one of the switches that I only found with a wiring diagram and a multimeter.
Are the pedal switches working correctly?
Any more detail you can provide on that process for the electrically challenged? Is it continuity, resistance, or voltage checks and is it from one side of the switch to the other or from the switch to something else?