Arahants and immersion are different things. So can clarify your post again?
If both types of arahant should have access to it, then you should favour the perception of nibbāna as what ratana sutta is talking about.
If we follow this, that says the perception of nibbāna is not immersion into Nibbāna, then the logical conclusion is that ratana sutta is referring to cessation of perception and feeling. A paradoxical perception in the Pāli discourses?