Moving a window to another screen (different DPI) using keyboard shortcuts while a menu is open has unexpected behavior

Marked as affected 6.5, could also affect earlier versions. I did not test it.

Steps to reproduce:
1. Open a window with a menu.
2. Open the menu.
3. Use Ctrl+Shift+Left/Right Arrow to move the window to another (different DPI) screen

Expected outcome:
1. The menu should move along with the window.
2. The window gets scaled appropriately for the new DPI.

What happens:
1. The menu stays behind where it was
2. The window changes look in unexpected ways.

See attached video.