I have seen that on multiple belt systems and agree, the whole matched belts no longer needed myth is hog wash. I have been using Timken industrial belts for the sole reason they are manufactured in the USA and they have fit better than any thing else I have tried.
I think that the belts were hot from slipping and once shut down they stuck to the pulleys.
I noticed that the Gates belts that I purchased prior to the Timken didn't feel as tacky. They were also not as pliable, very stiff and the pulleys felt hotter after a few minutes of usage, there was a definite decrease in temperature using the Timken for the same amount of time. I have slowly ordered Timken belts for everything and keep spares for any emergency that arises. No one local stocks them so I order them from Motion Industries.