[blouirts123]

Reusing one matchers.Pattern('*.TXT') across ntpath and posixpath Path variants can miss File.TXT on the second traversal in either order. The normalized glob is cached without recording which normalizer produced it.

Key a single cache entry by normalizer identity and publish the key/value together. Preserve repeated bound-method cache hits, avoid user-defined callable equality, and discard transient cache state during pickling so subclass dictionary/slot state still round-trips. Add module-order, callable-metadata and pickle regressions plus a Towncrier fragment.

Validation: root and independent focused class: 14 passed; filtered functional suite: 129 passed, 7 skipped, 12 symlink-dependent tests deselected. Docs and formatting pass; final changed-line coverage is 100% (82 lines). Full tox remains blocked locally by existing Ruff/mypy findings and Windows symlink privileges. Controlled baseline comparison reproduced those failures, and final diagnostics add no Ruff finding or changed-file type error. A concurrent mixed-normalizer probe and fragment draft rendering also pass. No performance claim is made.