When Roiling Waters Bleeding adds a non-Beasts piece that counts as a Beasts token (e.g., the Presence of a Spirit under Settled into Hunting-Grounds), does it deal Damage?

When Roiling Waters Bleeding adds a non-Beasts piece that counts as a Beasts token (e.g., the Presence of a Spirit under Settled into Hunting-Grounds), does it deal Damage?

Generally, no. Lands of Blood and Savagery checks if the piece that's being added is already a Beasts, not if it will be a Beasts once it arrives.
Nevertheless, Roiling Waters Bleeding deals Damage if repositioning a piece on the island that already counts as a Beasts, whether that's the Incarna of Breath of Darkness Down Your Spine, the Presence of a Spirit under Settle Into Hunting Grounds, or a Sacred Site belonging to Many Minds Move as One.