LED exterior replacements can cause a few different problems.
Brake lights often result in non-functioning cruise control (system thinks the light is on), as well as ABS issues (no speed reduction with brake application).
A newer issue is the Toyota "floormat recall" programming cutting the throttle to idle when the brakes are applied at more than 30 or 50% throttle.
These monitoring systems generally use ground-true logic, and the sensors require a small amount of current leakage through a filament to properly sense the status.
A load resistor can get around these issues, but then if the light actually does fail, there is no indication of a problem. The resistors also generate a lot of heat.
The CANBUS units may also work, but some Toyota turn signal sockets are not wired for them. The front turn signals on the Tacoma are an example... OTC LED units will blow the circuit with a direct short to ground.
As far as seeing a lot of Camrys with the rear market lights out, that's because people generally don't bother to check.
Every couple of months, go to a parking lot in front of a store with large windows after they are closed and drive a circle while checking your markers and brake/turn signals.