You're wrong. If you enable full range (0-255) while using a TV that only supports limited range (16-235), the TV will be sent low and high RGB values it simply cannot display, and you'll lose a ton of detail. You'll just get solid black or white where there should be variations, and changing the brightness or contrast won't bring that detail back.
Using a Sony 32EX400 right now. I set my PC to a custom resolution of 1918*1080 to enable RGB Full. Blacks and whites are clearly being crushed. Went
here. All the boxes from 1-15 are black as I have my TV calibrated for RGB Limited. Bringing up the brightness makes the boxes visible again.
Again, brightness/contrast on televisions I have calibrated alter the range of the signal to achieve the desired brightness/contrast. Brightness alters the lower range of the signal, and contrast alters the upper range of the signal. For some reason, monitors do not act this way, and brightness/contrast don't seem to do anything particularly meaningful besides changing the display temperature and color saturation.
Disclaimer: this may not be true for all televisions, but I can vouch for a 6 year old Sharp LCD, as I can for my dad's Panasonic Viera Plasma, our BenQ DLP projector, and my Sony 32EX400. I unfortunately do not have a source, though I have read as much in the past and have found it to be true with all displays I've used, besides monitors.