I just answered the questions you asked. You asked:
"Exactly what "freedom" was taken away when the AWB of 1994 was in place? Weren't there a ton of rifles, shotguns, revolvers and semi-auto handguns still available at the time (as well the same as now)? "
The fact that YOU may categorize them differently doesn't change the fact that the right to own a particular type of gun WAS lost, right? Let's say pitbulls were eventually outlawed because they killed so many people. You might say "Well, you CAN still own a beagle, doberman, German shepherd, etc", but that doesn't undo the fact that you can't own a pitbull.
People across the country own guns because criminals don't care about laws. So, while NY may have tough guns laws, we shouldn't expect criminals to consistently follow those laws any more than criminals consistently follow other laws.