Unless you really enjoy typing or excessively long lines, don't use the arrows when you don't need them. Subscripts next to subscripts imply references, so the competent programmer doesn't need extra clues to figure that out.
I disagree that it's more readable to have extra arrows. It's definitely unconventional to have them moving the interesting parts of the term further away from each other.
In Intermediate Perl, where we actually teach references, we tell you to omit the unnecessary arrows.
Also, remember there is no such thing as "readability". There is only what you (and others) have trained your eyes to recognize as patterns. You don't read things character-by-character then figure out what they mean. You see groups of things that you've seen before and recognize them. At the base syntax level that you are talking about, your "readability" is just your ability to recognize patterns. It's easier to recognize patterns the more you use it, so it's not surprising that what you do now is more "readable" to you. New styles seem odd at first, but eventually become more recognizable, and thus more "readable".
The example you give in your comments isn't hard to read because it lacks arrows. It's still hard to read with arrows:
$expr1->[$sub1{$x}]{$sub2[$y]-33*$x3}{24456+myFunct($abc)}
$expr1->[$sub1{$x}]->{$sub2[$y]-33*$x3}->{24456+myFunct($abc)}
I write that sort of code like this, using these sorts of variable names to remind the next coder about the sort of container each level is:
my $index = $sub1{$x};
my $key1 = $sub2[$y]-33*$x3;
my $key2 = 24456+myFunct($abc);
$expr1->[ $index ]{ $key1 }{ $key2 };
To make that even better, hide the details in a subroutine (that's what they are there for :) so you never have to play with that mess of a data structure directly. This is more readable that any of them:
my $value = get_value( $index, $key1, $key2 );
my $value = get_value(
$sub1{$x},
$sub2[$y]-33*$x3,
24456+myFunct($abc)
);
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