True [will be the same loss if one 1000W load is turned off]
Also true [will probably also be the same loss with any total load of 2000W]
If you can ignore the neutral also true. (But not counting the neutral is cheating.)
Beachcomber's post was the power delivered per per pound of copper, in which case 3 phase provides more power per wire (and per pound of copper).
For efficiency, if we use your example ignoring the neutral, 3 phase is still more efficient since the losses per wire are the same but the losses are divided by a larger power delivered for 3 phase. Thus the percent losses are lower for 3 phase making the efficiency per wire higher. (Actually losses should have been divided by the power supplied to the wire.)
If neutrals are included in calculating loss per wire, the 3 phase efficiency is improved.
bud--