A study was registered in 2004 at ClinicalTrials.gov with identifier NCT00080171. It defined its purpose as:
Knee osteoarthritis (OA) is the most common cause of disability in adults. The "Osteoarthritis Initiative (OAI): A Knee Health Study" is a nationwide research study that will help researchers gather more information about the physical changes that occur prior to the onset of arthritis symptoms or before OA gets worse. The purpose of this study is to examine people who have knee OA or are at high risk for knee OA; information will be used to better understand how to prevent and treat knee OA.
The American Journal of Clinical Nutrition published a paper, Fried potato consumption is associated with elevated mortality: an 8-y longitudinal cohort study, with the stated conclusions (emphasis mine):
The frequent consumption of fried potatoes appears to be associated with an increased mortality risk. Additional studies in larger sample sizes should be performed to confirm if overall potato consumption is associated with higher mortality risk. This trial was registered at clinicaltrials.gov as NCT00080171.
On closer inspection it appears that the fried-potato paper relied on data collected for the osteoarthritis study. But the study registration mentions neither fried potatoes nor mortality.
Given the divergence of purpose, should the paper make the claim that the trial was registered?