Quick links are gone

The site has always had quick links in the Google snippet.

Disappeared after adding H1, H2, H3 headings to the Home page. And on internal only H2 and H3. H1 has always been on the inside.

It's been 3 weeks but the quicklinks haven't returned.

How to get quick links back now?

If you remove from the main H1, H2, H3 headings and internal H2 and H3, then the relevance of the pages will fall.

What should be done in this case?