The "fresh" section in supermarkets is indeed in quotes because often it is not fresh [0] and it is not real sourdough [1].
They certainly give the impression that it is though!
[0]: https://www.theguardian.com/business/article/2024/jun/11/fou...
[1]: https://www.sustainweb.org/news/dec23-lidl-sourdough-sourfau...