me too..
The short answer is "no"
the long answer is:
important factors are how much friction is on the overhead anchor (tie in point), how much you weigh, and how fast you come down. When using a friction saver (almost) all the friction needed to control the descent is on the hitch. With natural crotch a lot of friction is on the rope going over the crotch. Other than wear and tear on the lines, the main concern is heat either glazing the climbing line or melting the prussic cord. With advances in rope technology it is a lot harder to melt the prussic cord than it was when the tree climbers companion was written. You are certainly not going to melt the Bee line.. However bee line is known to cause glazing on long and fast descents.
I use HRC and just replaced the last cord after nearly a year of use. It was only showing slight wear. I weigh 175, mostly climb on small natural crotches and never fly out of the tree and take a foot wrap as per treeco's recommendation on long descents. And I don't climb every day.
Big John at 260 lbs using a friction saver will put a lot more friction on his climbing hitch than I ever do. He does a lot of monster removals, using the rope guide to work a spar down. Whe the tree is ready to be notched and dropped he will often descend using a munter on the pull line. It's quick and easy on the ropes as well as saving him the need to pull the friction saver out of the tree.