It seems that a rare skill in the Devil May Cry universe is the ability to subsume a Devil Arm, seemingly into one's own body, apparently turning it into energy.
The most obvious example of this is Nero in Devil May Cry 4, when he subsumes Yamato using his Devil Bringer Arm. When he activates his Devil Trigger in that game, the sword is clearly being used by the Spectral Entity above his body, as it mimics his movements. But when he perform his move "Showdown", he seems to pull the katana out of thin air (or possibly grabs it from his Spectral Entity). My point is better made when Nero actually misses a target in Devil May Cry 4, as he summons the Yamato, before promptly reabsorbing it into his body. Not even Vergil, the katana's most notable wielder and Nero's father was capable of this.
Another excellent example is Dante in Devil May Cry 5. He has the ability to summon the Devil Sword Dante directly into his hands, removing the need to carry it (as seen in certain cutscenes). Whereas previously, he always had to carry the Rebellion, even storing it in a guitar case in crowded places to avoid suspicion from nearby humans (see Devil May Cry: The Animated Series).
Now, I haven't been able to find anything specifying this seemingly rare trait on the D.M.C. Wiki but it seems to me that when a Hybrid (half-human, half-demon [and possibly even demons]) have a close connection to a certain Devil Arm (like Dante) or a unique ability (like Nero), they can absorb it (most likely into their bodies, meta-physically).
My question is this: Is this an established ability in the Devil May Cry universe? If so, what is it called and how does it work exactly?