2kg in extra weight doesn't transpose to a higher level of resistance of the bike to move foward equal to the extra 120Wh's of energy stored in the battery. Bearings and round wheels see to that.
If your summation that a 503Wh battery has the same range as the 630Wh battery but on a bike 2Kg heavier bike is the same, then in the case of my fat arse of 95kgs compared to say a 75kgs rider, I would use ( 120 Wh's / 2 kg = 60 Wh's per kg ) 20 kg x 60Wh's =1200Wh/s extra over the same distance of the 75kg rider.
Reality shows something quite different and one of the great misnomers here on this forum, that heavier bikes use way more power. Perhaps we should start a thread to dispell the myth that seems to be building.
I agree and disagree
A higher weight bike doesn't use more power, but it takes more effort for you and the motor to ride uphill - how much the motor uses depends on how much the rider is relying on the assistance, which is down to mode choice and riding style.
Comparison of what range i get out of my various batteries is only relevant to me, because IMO the biggest factor in how much you use is you riding and peddling style plus how you uses the gears.
One person might get much more efficiency over another of the same with and build, on identically set up bikes, purely because of how the "human element" for want of a better phrase interacts with the bike.
The weight of the bike and how it impacts the range is a constant, so obviously I am going to get less range out of a 25kg Emtb with the same motor, battery and tires than a 22kg one, but how someone of a different build would get on I dont know.
We all know the biggest effects on range is rider weight and rolling resistance of tires, but given that most of us cant magic away 20kg off our bodies, the weight of the bike is the viable area to look at (fairly incremental gains), and of course tire choice is a personal deciosn based of what you are willing to trade off in terms of grip and robustness vs weight and rolling resistance.
IMO another big variable is that I think a lot of emtb riders are lazy on gear choice, simply because you can get away with being in the wrong gear more often than not - if you try riding your EMTB more in line with a normal bike, and being in the right gear all the time, you use less assistance, and see a resulting gain in range.