Barbatos is not the active one in love, but "he wants to be tied by his lover."

Tat lover was always you, in this or any other reality. He always wants to be with you, in any version of time and space.

He, being the Barbatos you know, often makes fun of you. Sometimes with exaggerated nicknames, other times touching you cloyingly. But Barbatos is also nice towards you and often saves leftover sweets he bakes for you.