TooltipWindow scaling issue in Windows High-DPI plug-in

Is there any solution that will fix this for desktop TooltipWindow’s (i.e. that aren’t attached to the editor)? We use desktop TooltipWindow’s so that we can get the system-provided drop shadow.

We’ve tried also using the DropShadower with a TooltipWindow attached to the editor, but that also has issues: DropShadower artifacts when transformed.