I'm always slightly fascinated by the way different organisations in different sectors present their style guidelines. Here is Imperial College London on writing good headings and I can't see much I disagree with.

It includes the following statistic and link:

According to a WebAIM survey of 1,539 people in January 2024, 71.6% of screen reader users navigate pages using headings.

Make as note of that, as it might come in handy for future discussions with your senior leadership team or design colleagues.