VTK/Qt integration and Qt6(Core|Gui)Tools folders

We have project using ITK, VTK and Qt; VTK is configured to use Qt (VTK_MODULE_ENABLE_VTK_GUISupportQt = YES, VTK_MODULE_ENABLE_VTK_RenderingQt = YES, VTK_MODULE_ENABLE_VTK_ViewsQt = YES), and ITK is configured to depend on VTK (Module_ITKVtkGlue enabled), and therefore transitively gets some Qt configuration as well; however, part of the Qt settings seems to get lost somewhere. When we do find_package(ITK), it pulls in vtk and Qt as well, but fails with

CMake Error at C:/Tools/vtk/bin-9.1.0/lib/cmake/vtk-9.1/VTK-vtk-module-find-packages.cmake:115 (find_package):
  Found package configuration file:

    C:/Tools/Qt/6.5.0/msvc2019_64/lib/cmake/Qt6/Qt6Config.cmake

  but it set Qt6_FOUND to FALSE so package "Qt6" is considered to be NOT
  FOUND.  Reason given by package:

  Failed to find required Qt component "Widgets".

which in turn is caused by Qt6WidgetsTools component not finding its dependencies Qt6CoreTools and Qt6GuiTools.

The tedious fix for this is to each time for a new build folder require the user to manually set the Qt6(Core|Gui)Tools folder.

Slightly better is to set the Qt6(Core|Gui)Tools folders automatically from the (correctly set) Qt6_DIR in our CMakeLists.txt; however, that only works on a second CMake configure run (since the failing find_package for Qt is called inside of ITK’s find_package, and leads to the configure run erroring out prematurely).

We could search for Qt first in our project; but then, the user has to specify two library locations separately (Qt and ITK), and has to take care to specify the same Qt library that was used for the VTK build, whereas when searching for ITK first, the Qt library used there is pulled in automatically.

Does maybe somebody know of a nice solution to this issue we can apply on our end?
Or is this an issue of ITK loosing the full Qt lib information from VTK, or maybe of VTK not providing all required information in the first place?

ITK essentially knows nothing about Qt. The proper solution probably lies in VTK. My personal solution was always to manually specify Qt core and gui paths.