Both the h-index and citation score are commonly used metrics in academia to evaluate researchers. But unfortunately it had a limited role in academic Promotion.
The h-index and citation score are commonly used metrics in academia to evaluate researchers and their impact in their field. However, their role in academic promotion varies depending on the institution and discipline. While these metrics may be considered in the promotion process, they are not the sole determining factor and other factors such as teaching, service, and research quality may also be taken into account. It's important to note that the limitations and flaws of these metrics have also been discussed, and they should not be relied on solely for evaluating researchers.
I agree with the comment that there is a lot of variation between institutions. Some may have higher standards. Some may also consider what journals one has published in and how respectable those journals are in that precise field.