That is interesting about the Lexis/Nexis & Westlaw restrictions. I'm pretty sure that as an undergrad I have unlimited access to Lexis; I've used it before! Not Westlaw though, and NOT, I'm sure, in the same manner that someone who was learning, or doing, actual legal research (vs. looking up the Bollinger case summary for a Poli-Sci class).
I think the game playing is pretty common too, though unfortunate. If you are going to go into debt to learn to "think like a lawyer," you might as well try to do so. Oh well, I guess that not eveeryone works for their grades, to some it must come easy.