Neither of the options suggested are "lightweight". These are the lightest, not on top of the bottle type burners I've been able to find. Texsport Single Burner Propane Stove for Camping | eBay For the weight of a 4 burner partner, you could have a 10+ burners with these things. They fit in a gamma bucket. Might work.
TriBri- You might look at these for an inexppensive high ouput stove. 25K/burner compared to 20K for the Camp Chef. You can get one at BiMart and they go on sale fairly often. I got mine for $49 a few years ago.
I have one of these, but it's only a 12kBTU/burner stove. I wouldn't pay $119 full retail for it, but found it for $15 in a pawn shop. Can't beat it for the combo grill/burner combo, especially only cooking for a family of 4. Camping Grill Propane BBQ and Camp Stove Cooking | eBay
It would be nice if there were a similar version with the 25kBTU burners you posted, Wadeinthewater.