Yeah, clearly just using it as a sneaky way of quoting doesn't work.

Having said this, one thing I've done in the past is something like this:

use Const::Fast;
use A::Really::Long::Class::Name::To::Type;
const my $CLASS => 'A::Really::Long::Class::Name::To::Type';

$CLASS->do_something;
$CLASS->do_something_else;
$CLASS->yet_another_thing;
# 
# and a bunch more of these
#
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In that circumstance, seems to me that

const my $CLASS => A::Really::Long::Class::Name::To::Type::;
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might actually be preferable, in that it gives you that check against the package name.

All I can say is I've been using perl since the '90s and I still have so much I don't know.