How the string is built can make as much or more difference in feel and performance as the material used.
A really lousy string can be made from any material, or a pretty good one can be made from most any material.
I have seen a couple of bows damaged by the string. "Fast Flight" brand material, skinny strings with unpadded loops on old bows. Literally sawed the tips off.
The problem as I see it on a lot of old bows is the string groove is cut into the limbs at the wrong angle. Don't know about the Bear in question.
As far as using high performance materials on bows not rated for it...it's a crap shoot.
The string may or may not damage the bow. I've never seen or even heard of any type of controlled test to prove or disprove it.
What I have seen is lots more bows "blow up" with a polyester (Dacron) string than I have with anything else, even a new one here and there. I have a high dollar custom hanging in my shop that delaminated the first time it was pulled to 28"--never even shot (bowyer wouldn't warranty it).
That being said...99.99999% of the time, when a bow fails, the first thing anyone asks is "what kind of string did it have on it?". If it has ANYTHING other than polyester (Dacron), the string gets blamed.
If there's a warranty and it doesn't cover HMPE materials, guess what? Saying "those guys on the message board said it would be ok" won't get you a new bow, regardless if it was the string's fault or not.
The easy solution, for me anyway, is I only buy bows that are rated for any type string material. Problem solved.