Without them having a different source of income, yes. Web hosting, IT staff, etc. cost money. Or if the free users outnumber the paid users to the point where the costs aren't covered by paid users.
If you run a gas station and the only people who visit just need to use the bathroom, the business loses money.
I'm not a fan of sites funded by advertising and data collection, so I don't use them. But let's not pretend that users of such sites get nothing from the arrangement.
Except this article is literally about the response to AI doing it multiple times.
https://arstechnica.com/ai/2026/06/openais-math-breakthrough-played-to-ais-strengths/
https://www.smithsonianmag.com/smart-news/ai-disproves-a-decades-old-mathematical-idea-the-biggest-conjecture-that-the-tech-has-played-a-role-in-yet-180989189/
https://patmcguinness.substack.com/p/openais-astra-tackles-mathematical
The whole, "LLMs can't do basic math," thing is outdated.