Not sure why you would weight less when falling from a double rope using a double rope technique.
The reason I have seen stated is that the load from a double rope will be partially shared by the second rope. This reduces the force on the first strand. The physics is good but idealized. I have always been suspicious that this may not be the case in the real world, but I have no proof.
Respectfully,
Jerry
If the load is shared, you either have a protection/bolt very near to each other or you need to have find a new belayer. Thats my experience anyways.
Never mix twin and double technique, which will share the load, but one might damage the other.