One objective test would be a memory test involving a before-and-after between two groups, giving the control group nothing and the study group the Memory Supercharger.
"Work" is a bit odd of a word, because the tapes create sounds on a machine that induce a hypnotic state that creates a change over time. If you mean "work" by do they play sound, then yes. If they don't, I'm sure LSC would replace the defective state. As far as a hypnotic state, that depends on how your brain is set up to enter hypnosis. Some people -cannot- be hypnotized. While they can perform preconscious processing, the integration of their minds is so complete as to have no "unconscious" aspects of themselves. For such a person, massive behavioral change would be a choice, as there is no unconscious mind to convince. Other people can be easily hypnotized, but not by a dual trance induction, or not by the specific induction of a specific tape. As far as the hypnotic state producing a change, that is a little harder. For example, I used the "belief" tape to install the belief that I am the sexiest guy on the planet. While I do not believe this, I have removed the belief that I am ugly. I've also used New History Generator to treat my PTSD, but it comes back every once and a while. Paraliminals usually require iteration.
