Is the use of conditional logistic regression necessary in case-control study？

https://www.bmj.com/content/352/bmj.i969 Here are two key points in this BMJ article: first, conditional logistic regression is not essential unless the data are sparse; second, it remains necessary to control for confounding factors after matching. I find these arguments quite persuasive, although they contradict the opinions of many researchers. I would like to hear further perspectives on this. Thank you very much.