As a final follow-up. This is apparently new behaviour and mentioned in the perl 5.18 release notes:

When require encounters an unreadable file, it now dies. It used to ignore the file and continue searching the directories in @INC [perl #113422].

In reply to Re^8: apache 2.4 mod_perl permission denied on standard modules by Crackers2
in thread apache 2.4 mod_perl permission denied on standard modules by Crackers2

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