I suspect they actually hold the same amount of signal information, just distributed differently.
Might be getting a bit philosophical here, but is it still the same amount of information if we can't extract the same amount of information? Any system of measurement is going to get a more accurate reading from a CAV disc than a CLV disc because the SNR is lower, like the FAQ said - even if it's the best pressed laserdisc in the world and all the noise is coming from the player's circuitry.
Build a better laserdisc player and I think it would still get more "information" from a CAV than a CLV.
Edit: I've just remembered. When I made a DVD from my SE LDs, I did an experiment. I captured the same scene multiple times and averaged it, to see if I could reduce noise. It barely made any difference, which suggests to me that "noise" is mostly already encoded on the disc by the manufacturing process and its limitations. The slight difference I saw would have been from averaging out the lower noise introduced during reading.
DE