Hazelnuts; I find your post baffling.
I have recently handled the 738NG at max landing weight, luckily our planes are mostly full and we were "tanking" fuel.
I can assure you the 'frame badly needed extra track miles to slow down when compared with the same 'frame 5 tonnes lighter.
Why does Mr Boeing provide me with distance tables showing increasing track miles needed with increasing weight e g 40/50/60/70 tons from identical heights?
And this ToD manoeuvre is only flown close to Vref in the last few miles so I don't get the connection?
Energy (momentum) is the product of the mass times velocity, so why do you think it is not a relevant and important factor?