The closest I want to accomplish is the this example u shown :

my %map = (
    typeA => sub { $_[0]->{key1}[3]{key2} },
    typeB => sub { $_[0]->{key3} },
    typeC => sub { $_[0]->[1]{key4} },
    # ...
);
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In what way does this not do what you described?

Well, another way would be to store the "XPath" as a string in the hash, and then eval it at runtime, i.e.

my %map = (
    typeA => "{key1}[3]{key2}",
    typeB => "{key3}",
    typeC => "[1]{key4}",
    # ...
);

for my $elem (@LoANY) {
    my $xpath = $map{$elem->{type}};
    my $lol   = $elem->{data};
    print eval "\$lol->$xpath", "\n";
}
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With the example data from my previous post, this would also print

Value1
Value2
Value3
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In other words, you construct snippets of literal Perl source (e.g. "\$lol->$xpath", interpolating to '$lol->{key1}[3]{key2}'), which you then eval.  Thing is that the XPath thing would need to be turned into runnable code — either at compile-time (like in the function dispatcher approach shown first), or with an eval at runtime.

Expect a performance penalty though, if you call the eval many many times... (Update: not to mention that using eval would require some awareness of security issues, if you apply it in scenarios where the code being constructed dynamically is potentially coming from insecure sources)