Okay, from the example you provided I get your original suggestion more clearly now - I’d misread it as you wanting to get the link to the page. Safari only shares the plain text to Drafts (Drafts is a plain text only app), so any rich content in that text such as formatting or hyperlinks wouldn’t be passed across. Apologies for misleading you on that one.
As Peter noted, you would have to convert the rich content (the rendered HTML) to Markdown (a plain text format) prior to inserting it into Drafts. Round tripping through Shortcuts is probably the ideal option on iOS/iPadOS given the integrations that exist, but on macOS you would need to use a different solution as Shortcuts isn’t available on that platform currently. Though on the plus side there are a variety of tools that could help you with this. This is something where there probably isn’t a neat multi-platform solution.