Actually, it's not correct. Invid's assertion that charging circuitry prevents full discharging is correct, but not the point that discharging one's battery fully harms batteries. While that sounds counter-intutitive, consider that the circuity Invit writes about *prevents* actual full discharging. When a person sees his or her battery discharged to 1-2% that is not an actual full discharge but merely what the OS is indicating a low battery state to be.
These modern lithium ion batteries can not be fully discharged by an end-user nor can they be overcharged. The main reason companies recommend monthly "full" discharge and recharge cycles (as apple's official documentation does, for example) is to ensure proper calibration of the battery gauge.
Also, maintaining a full charge at all times will eventually reduce battery longevity because it's important to move the electrons around inside the battery (again, according to apple's official literature). For long term storage, however, batteries should be kept around half to 2/3 charge--no more and no less.
Li-Ion batteries count lifespan in complete cycles not partial cycles. If you charge your battery from 1-100 then it's the same as if you charge from 50 to 100 twice. There are no other guidelines I'm aware of other than these.
While I haven't researched HP's position on battery care, I did so for my macbook (hence the apple references). I choose to abide by apple's instructions because they are the leader in battery longevity and they warranty their batteries.
my suggestion is to use the touchpad as you normally would and not worry about the battery. I don't have any suggestion as to the touchstone though, sorry.