The page behind the drawer stops scrolling only while the mask is up and the drawer renders over the page. mask={false} and getContainer={false} both leave the page scrolling.
Such a drawer loses the focus trap, the scroll lock and the click-away close together. That is fine for an inspector next to the page, but it is no longer a dialog. Place it next to the content it belongs to in the reading order, and give it its own heading.