i don't no much about this, as i just qualified, but don't u go on like the wattage or sum thing of the bulb, and im sure like with most things, the lamps are prob made by the same people, in china!
Im sure that most gels just suggest that u use their particular lamp, as they are normally a damn sight more than other lamps.
cud have sworn on my course we were told that if u use say a lamp from the day light company, than u may just have to cure for a couple seconds longer. The lamp doesn't emitt special rays that work only with a particular product. Surly if u just find out what bulb each one takes then u will know if u can use the same lamp!