Cmd-H Doesn't Hide App When Tooltip Displayed

In our app (which is using Qt 5.9.6) and in QtCreator (I'm running 4.10.2 which uses Qt 5.13.2), pressing Cmd+H when a tooltip is displayed should hide the app, but doesn't.

To reproduce with QtCreator, simply hover the mouse over the Welcome icon until the "Switch to Welcome mode ^1" tooltip appears and press Cmd-H. QtCreator doesn't hide. But if you don't wait for the tooltip to display and press Cmd+H, QtCreator hides.  Interestingly, I tried QtCreator 4.11.1 which uses Qt 5.14.1 and Cmd-H closed the tooltip. I had to Cmd-H again to hide QtCreator.

Note that hovering a button in Finder until a tooltip is shown and pressing Cmd+H causes Finder to be hidden. Qt apps should do the same.