Micheal,
Sorry, I need to rephrase that as "carbon is A cause of HLLE". It most likely is not a main cause.
This has so much to do with the type of carbon and how it is used. If you use lots of cheap, dusty carbon in powerful reactor attached to a tank without a protein skimmer, you'll likely see HLLE crop up pretty quickly. On the other hand, if you use premium, pelletized carbon, well-rinsed and used sparingly by soaking an amount of it in a fine mesh bag in a sump of tank with a good protein skimmer, you'll probably not see HLLE at all. The other potential causes of HLLE come into play as well - so it becomes a huge multivariate mess - to the point where it becomes impossible to true determine cause and effect...some people have linked residual oxidants from ozone to HLLE (grin).
Personally, I use adequate water changes and the second carbon use mentioned above, along with skimming to maintain water quality.....
Jay