I give zero credibility to that “denial”.
Also, this was a story in the UK press, also heard from Canadian military sources, and Australian and Denmark.
https://www.mirror.co.uk/news/world-news/sas-chiefs-refuse-us-request-24814423
Your story never reached any serious reporting, it originated from your first link with this hard hitting claim of “I understand that the commanding general of the 82nd Airborne Division has told”, and now you link to the Mirror saying “A controversial American media report said a US officer told British special forces”.