There are two things that I noticed right off the bat.
First a working range of 7v to 7.5V is terrible. I am am thinking this is because the dropout on the driver is high probably close to 2.5V. I am sure it can take 8.4V which is the fully charged voltage of two Li-ions but it probably produces too much heat drooping that extra volt to achieve the 45 seconds duty cycle it promises so he chose a range that will let it run that long before overheating. A .5V working range is pretty much useless in a handheld unit and a 45 second duty cycle in a labby or projector is just as useless so the unit is just basically useless.
The second thing is he claims it has a dot not a line which I am pretty sure the output is going to be a line due to the multimode nature of the 445 and that thing does not look like it has corrective optics crammed in there.
Now that is a hell of a price he is asking for that unit. It has a extremely cheap linear driver, probably an A series diode and three element lens based on the efficiency looking at his operating current and power output. I would say it is price about double what it is worth if it actually would work for either a hand held unit or a labby. But it does not fit the mold for either.
If you want out of the unit I would check the output and if it is not a dot as he states I would suggest making him take it back and if he does not want to leave him appropriate feedback and file a item not as described claim.
You can get a unit that can do 1W off a single Li-Ion with a high quality boost driver, a 90+ second duty cycle, M140 diode and in a standard 12mm housing for under $100 from me or a few other members here that have similar items for sale.:beer: