What's happening here is Claude (and ChatGPT alike) have a tool-based search option. You ask them a question - like "who won the Superbowl in 1998" - they then run a search against a classic web search engine (Bing for ChatGPT, Brave for Claude) and fetch back cached results from that engine. They inject those results into their context and use them to answer the question.

Using just a few words (the name of the team) feels OK to me, though you're welcome to argue otherwise.

The Claude search system prompt is there to ensure that Claude doesn't spit out multiple paragraphs of text from the underlying website, in a way that would discourage you from clicking through to the original source.

Personally I think this is an ethical way of designing that feature.

(Note that the way this works is an entirely different issue from the fact that these models were training on unlicensed data.)