BUG: Fix multi-index on columns with bool level values does not roundtrip through parquet #20877

Job	Run time
Pyodide build	10m 1s
Linux-32-bit	10m 4s
python-freethreading	10m 2s
Linux-Musl	10m 4s
python-dev (macOS-13)	10m 1s
python-dev (macOS-14)	9m 39s
python-dev (ubuntu-22.04)	10m 4s
python-dev (windows-latest)	10m 1s
macos-13 actions-310.yaml	10m 2s
macos-13 actions-311.yaml	10m 8s
macos-13 actions-312.yaml	10m 0s
macos-14 actions-310.yaml	7m 36s
macos-14 actions-311.yaml	10m 3s
macos-14 actions-312.yaml	10m 1s
windows-latest actions-311.yaml	10m 2s
windows-latest actions-312.yaml	10m 2s
windows-latest actions-310.yaml	9m 58s
ubuntu-latest actions-310.yaml	10m 4s
Minimum Versions	10m 4s
Future infer strings (without pyarrow)	10m 5s
Locale: zh_CN	10m 2s
ubuntu-latest actions-311.yaml	10m 4s
Downstream Compat	5m 36s
Locale: it_IT	10m 4s
Numpy Dev	10m 3s
Pyarrow Nightly	10m 4s
ubuntu-latest actions-312.yaml	10m 5s
Pypy	1m 11s
Future infer strings	10m 4s
	4h 35m 14s

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