I think I should read more on what is Test::More::is_deeply() is. But without reading that I would say no. They just look the same but doing

$ar1->[0]{a}='foo';
$ar2->[0]{a}='bar';
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Then they are not the same anymore.

After quick look at what is_deeply is, i don't know. It should explain what the subroutine is after. Eg. which is it

1. Do these look the same to outside (at this particular moment)?
2. Are these exatly identical in all ways?

Depending what you want take your pick. But if both of these are wanted, then make two subroutines.