I am wondering if composite reliability is designed for checking reliability or validity ?

#1
Hi! friends, I get confused with the use of composite reliability. To me, I think composite reliability is used for checking reliability, right ? because it is literally called reliability, and I also found some study supporting this justification. However, I also found some studies which claimed they used it to check validity ( convergent validity) as you can see the attached photos below, showing the composite reliability is one of the three ways to assess validity in his study. Therefore, I am wondering if it is designed for checking reliability or validity ?

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