In canon, the Cloak does not hide you from the Map.
I don’t remember if this has appeared in MoR, but an Author’s Note referenced this fact: in canon, the Cloak does not hide you from Moody’s Eye. Rather than change this, EY made the Eye a venerable artefact, rather than something that Moody whipped up. And he also made the Map a venerable artefact, rather than something that the Marauders whipped up.
So I expect that the Cloak does not hide you from the Map in MoR either.
In canon, the Cloak does not hide you from the Map.
I don’t remember if this has appeared in MoR, but an Author’s Note referenced this fact: in canon, the Cloak does not hide you from Moody’s Eye. Rather than change this, EY made the Eye a venerable artefact, rather than something that Moody whipped up. And he also made the Map a venerable artefact, rather than something that the Marauders whipped up.
So I expect that the Cloak does not hide you from the Map in MoR either.
[Edits: capitalization.]