Provide `TypePrinter`s with more context #1693

Job	Run time
build (ubuntu-22.04, x64, g++-11, gcc-11)	4m 4s
build (macos-11, x64, clang++, clang)	7m 7s
build (windows-2022, x64, Program Files/Microsoft Visual Studio/2022)	6m 39s
create_package	0s
	17m 50s

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