I find that odd and don't believe it.
I'm wondering if they didn't understand your question, or perhaps I am not understanding the question.
I currently have 8800 points left in my account after earning, redeeming and transferring (to share partners) over 100,000 points since they started the points system years ago.
Should I have chosen not to renew my STH this year, I would loose these remaining points? Over my dead body!
They were earned with more that just my STH renewal... Bonus codes from podcasts, JetsTV, early attendance, Jets Merch, etc. Not only that, It's money I already spent on renewal or merch, I should keep the points until they actually do expire (I forget how long before they do).
I'd be pissed if I lost my points, simply because I didn't renew. They are points earned and in my jets account, I could still earn and redeem some without being a STH.