Common sense says that obesity speeds up the death process.
Common sense says that physiological stress speeds up the death process. It would be interesting to see the statistical analysis based on (1) amount of weight lost, (2) number of pounds the person was overweight and (3) the method/time period used to lose the weight.
Being very overweight carries significant risks. Being somewhat overweight (and that includes the lower levels of "obesity" for many people when judged from actuarial tables) may be less stressful than the methods and time intervals required for the weight loss.
Just my $.02.
But it doesnt speed up the death process. There are other studies that find that obese people live longer when diagosed with cancer.