Flutter -> glass effect over google maps?

Question

I have a scaffold -> stack -> google maps, some buttons, and a BackdropFilter. In a test page without google maps, the filter fuzzies out everything as expected. However, when you have a GoogleMap in the stack, everything else but the map gets fuzzied or filtered.

The backdrop filter is a simple affair:

BackdropFilter(
                    filter: ImageFilter.blur(sigmaX: 5.0, sigmaY: 5.0),
                    child: Container(
                      color: Colors.black.withOpacity(0.1),
                    ),

I can almost understand why...and yet here I am.