Submit AMP page to Google Sitemap

Is there an advantage to submitting my AMP pages to my Google sitemap?

I am using <link rel="amphtml" ... but I was wondering if submitting them lead to faster discovery?

My AMP pages are starting to show up in Google Search Console Coverage for "Indexed, not submitted in sitemap"

However, I cannot confirm that their non-AMP canonicals are in the latest version of the sitemap that Google has crawled and parsed.