Expose a network-free login-required check backed by the in-memory status
recorder. Unlike IsLoginRequired(), which creates a fresh auth client and
performs a blocking network call, IsLoginRequiredCached() reports whether the
LAST observed management error was an auth failure (PermissionDenied/
InvalidArgument).
This lets the iOS connection listener detect a mid-session token expiry from
within onDisconnected during teardown without blocking on a slow or
unavailable network.
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