On my Linux system, I get "no match". Evidently, Perl doesn't consider them a match because they aren't a match. For example:

#!perl -sl

strict;
warnings;

binmode STDOUT, ':encoding(utf8)';
print my $str1 = "L\311GER";
print my $str2 = "l\351ger";
[download]

That's on 5.8.8; however, on 5.14x and above, Anonymous Monk's suggestion about use feature 'unicode_strings' worked for me.

Update: fixed typo.