Have not seen anything that suggests the lithium ion batteries more than cost more and maybe weigh in lower. They should have the ability to be charged more total cycles than other batteries, IF the right technology is used in their construction. They are going to deliver the same voltage, but no idea how they handle load for each charge. I was looking into some of this kind of technology with portable tools from companies like Dewalt, Makita, and others. There are significant differences in the battery material construction, but all that does is permit more recharges. Does not deliver any more power or anything like that. Am wondering if the same sort of thing is going on with some of these light kits. Just because they say lithium battery, may not mean much more than higher cost and greater number of recharges....maybe. The rest of the electronics determines how fast the lights recycle. Granted, the reduced weight might be nice, but not if the battery power suffers.
I had DynaLites and ran them off a DynaLite battery power inverter (sealed lead acid), and they worked quite well. Not enough power now to drive my Profoto D4 pack, but there would be enough to drive a couple 500Ws D1s....when I finally get them. I like that all the stuff from the studio kit will work on the portable kit, as some others like Elinchroms will do also.
LJ