Which uptime checker tool would be based on status pages (owned by the marketing department)? That defeats the whole purpose.

I've run a business in this space since 2021, I am yet to meet a business that lets their marketing team own their status page.

You'll find most engineering teams will start owning a status page to centralise updates to their stakeholders, before eventually growing into the customer success/support org owning it to minimise support tickets during incidents.

Marketing has nothing to do with status pages.

I highly doubt AWS health dashboards are owned by marketing