This link sheds some light on that.
Quotes:
"Eighty per cent of the adult bears in the Churchill area have been tranquillized, handled, tagged, tattooed, weighed and measured, had blood drawn, teeth checked, their behaviour and life history recorded, many more than once."
...
"The scientists have found that for every week the ice breaks up earlier the bears come ashore 10 kilos lighter."
This article also notes that the Manitoba/Hudson Bay population is the best-studied polar bear population anywhere.
Too many factors other than global warming.
Perhaps this tranquillizing and handling has hurt the bears health? You can't make measurements without effecting what is being measured.
Being subjected to that kind of stress would cause any organism to lose weight.
Do you think the bears share 'alien abduction' stories? These bears are probably depressed, demoralized, and disenchanted after being messed with so much.
From all the Cokes these bears drink, you'd think they would put on a few pounds.