Very strange. I haven't had any problems running my LWP app though.
Possibly a bug in perl2exe. If it continues to be a problem when
you compile other apps I'd recommend switching to another
version of Win32 Perl (thus requiring a different build of
perl2exe). That might fix it.
Personally I'm running ActiveState Perl 5.005_03 build 522
and perl2exe V3.12b-AP5xx