With the above info the DM lite is not capable (at least in its stock configuration) to send variable hi-hat CC#4 signals. The hi-hat control pedal is only an "ON" "OFF" switch. This is typical of Alesis drum modules in the "affordable" rage (i.e. DM Lite, DM6, DM7 and DM7x). The only modules Alesis make that are capable of CC#4 is the Trigger I/O, DM8 and DM10.
Sure - the Trigger I/O, DM8 and DM10 send the CC#4 every time you move the pedal the slightest, but if the DM Lite sends a correct variable CC#4 along with the hi-hat note, then you can get a variable hi-hat, and not just open/closed.
It might, but not in its stock configuration. The kit only comes with a momentary switch hi-hat pedal. That can only produce an "on" or an "off". By definition a momentary switch can not produces a variable signal.
The only way to know for sure is to plug in a variable hi-hat control pedal and --hope-- the module auto recognizes that type of controller. The reason I say "hope" is because there is nothing on the module that lets you set the type of hi-hat control pedal (unless of course I missed something in the manual).
The CC#4 being sent by the module when the pedal is depressed may just be so more VST's are compatible with the hi-hat control. I believe some VST's only see a closed hi-hat when there is a CC#4 signal. If that is the case, the module is just sending the CC#4 to make sure the VST can have a closed hi-hat sound when playing. Again, the only real way to know is if topmonkey has a variable hi-hat pedal that he can plug into his DM Lite kit and test with the VST. It
might work, but it is a shot in the dark and being an Alesis module on the more affordable end its hard to image that capability is in there. Heck, it may be in there and just blocked by the programing in the module. I wouldn't put that past Alesis either.