An example is when there are a huge number of scalars having random contents. Here compressed storable has 33% over head, where as compressed json has 70%+ overhead.
use strict;
use warnings;
use Storable;
use IO::Compress::Gzip qw(gzip);
use JSON::XS;
my (@data,$serial,$gzserial,$json,$gzjson,$i);
for($i=0;$i<100000;$i++) { push @data, chr(int(rand(256)))}
$serial = Storable::nfreeze(\@data);
$json = encode_json(\@data);
gzip \$json => \$gzjson;
gzip \$serial => \$gzserial;
print scalar(@data)."\n";
print length($serial)."\n";
print length($gzserial)."\n";
print length($json)."\n";
print length($gzjson)."\n";