It's not the dynamic-scoping-like behaviour that's the problem
Yes, it is:
The real difficulty (for me, anyway) is making a change in an inner scope to a lexical variable in an outer scope in such a way that the change will ‘revert’ outside that scope.
That's the dynamic scoping you're after.

Make $x a package variable, use local, and it will work the way you want. I don't see the point of making $x a lexical if you don't want lexical behaviour.

In reply to Re^3: Local for lexicals by JavaFan
in thread Local for lexicals by JadeNB

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