Yes, she certainly is projecting, but can these children really blame her? Why shouldn't she, as a mother, take her duty to her absent children and transpose it to these children with absent mothers?

She arches up into Frisk's pat, still purring. "If you ever do want me to take that role in your life, I would not mind."

Truth be told, being a mother has been a decent part of her life; and without someone to take care of, it feels like a hole has been opened up in her chest. She noses at Serif, too, doing her best to keep everyone involved and participating. Six months is young for humans, and monsters, so-- he might need the urging.