I have a Times subscription which gives access to a couple of thousand old Listener puzzles as well as the new one at 16.00 every Friday. I consider it good value even though I rarely use it for news.
That said I donāt see that sharing a link to the weekly puzzle is such a terrible crime. A quick look at any social media platform will reveal hundreds of examples of newspaper content being shared for the benefit of the wider community.
I donāt know what the situation is in law though.