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Following on from this, it's also more complicated as it depends on your fitness/weight trajectories at the time.
For example, I've got a bunch of run times for doing a 5k when I weighed 90kg.
Some of those are when I was massively unfit as I'd just started a new fitness regime after ballooning up to 95kg. So my weight was on its way down and fitness was on its way up, but I was slow and plodding.
In another scenario I was much fitter (having done a marathon at 86kg a few months earlier off the back of months of training) but post-marathon apathy was well set and the weight had started to sneak back on.
So both were nominally "5k runs at 90kg" but the times were a good 5-6 minutes apart.
A sizeable chunk of the improvements in run times when losing weight can generally be ascribed to the increased training that was required to help shift the weight.
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Greenbank
No doubt, but the data it is not readily available (the Daniels's tables stuff is very dated and very biased towards elite level athletes).
Any curve is is going to be s-shaped too - if you are overweight, for a given weight dropped, your gains are going to be proportionally greater than if you are just above your optimal weight. But if you start dropping more weight, your performance will also drop off (because muscle mass / other physiological factors).