However it is my belief that these were mostly true 2-3 years ago but the myth has remained. And people still belief there are issues.
I've heard from actual screen reader users that these supposed issues are mostly non-issue. And pale in comparison from people implementing their own.
I still would be careful using it! MDN has a section on accessibility considerations: https://developer.mozilla.org/en-US/docs/Web/HTML/Element/di...
The W3C also has a pretty great set of examples of how to make complex widgets like dialogs accessible (not that a11y is just a checklist): https://www.w3.org/WAI/ARIA/apg/patterns/dialog-modal/
In fact, it seems pretty unequivocal: “The native HTML <dialog> element should be used in creating modal dialogs”