After poking around this seems to be coming from secondary source, but there may be a way to overwrite it using two different types of structured data:
https://developers.google.com/search/docs/appearance/site-names
is present on google search in safari, is not present on duck duck go in safari

After poking around this seems to be coming from secondary source, but there may be a way to overwrite it using two different types of structured data:
https://developers.google.com/search/docs/appearance/site-names
is present on google search in safari, is not present on duck duck go in safari