That rule of thumb "positive skewness implies that the mean value is to the right of the median" is not always the truth. You are right.
As a pitty this statement is made (wrongly) in the free analytics e-course of SAS.

Even more annoying there are a lot of distributions and the normal distribution is an important one but not always applicable to your data. Also there an often wrong believed statement is made. Making some samples the estimates may follow the normal distribution the original distribution however is still not needed to be normal. (Ahw)

Who is reviewing the content of those SAS courses?