Sticking yes i agree 100% but....... Why ?
Did you flush out the cooler and lines before your install ?
It might be wise just to pull the pan whilst your at it and just have a peek to see if anythings going wrong.
If it worked fine for how ever long ? Then all of a sudden it starts to hang up you might have something breaking up.
Better to have a peek than go through all the work of pulling the tail housing and find that its internal, And besides your under there anyway.
Just my opinion.... GL hope it works out for you.