I've got to say, thinking back on my own K-12 education, almost the entirety of which I had access to a computer at home, I don't think I did a whole lot of homework on it, and I definitely played a lot of computer games. Additionally, if the teachers weren't giving out assignments that required the use of the computer, which seems unlikely if not everyone has access to a computer, then the computer won't be used for homework. Obviously, that wasn't the goal of the program, and I"d be interested in hearing more about the "increase in computer proficiency and perhaps some improvement in a cognitive test."
Personally, I know that access to computers and computer science classes in high school probably had a much larger impact on my interest and aptitude in computer science.
Perhaps the program would be more effective by bringing computers into school at an earlier age (combined with useful curriculum). I remember playing Oregon Trail in computer class in elementary school (early nineties) and thinking back, I really wish the instructor had shown us (me) a command prompt and some Fortran or BASIC.