After some investigations, I found how to really fix the bug which prevented to go beyond the first step of the furniture import wizard when an application like BetterSnapTool or Rectangle is running. You can test it with Sweet Home 3D 7.0.2d which comes with the updated version 2.4.0-rc-20221118 of JOGL library (if interested, see this technical post).
This correction should work from macOS 10.14 to the last macOS version. For older versions, you'll have to quit BetterSnapTool, Rectangle or the like until further notice.
I'm looking forward to reading your tests.