Thanks for doing as asked
So it will appear that your transmission is reasonable
FWIW I do this test on my tilting trailer while unloading the mower .
An old belt will have rubber that has extruded through the cover so will be a little sticky when hot
A new belt will not
And old belt will be uniform because it has been run & gotten hot
A new belt will have set bends where it has been folded for transport & storage and may take a coupe of hours use to get hot hot enough to stretch them out
The pulleys need to spin freely & quietly , if not they need replacing
A very small amount of wear in the pivot hole for the tension arm can make a bit difference to the amount of tension on the belt