No she isn't. Growli chooses to refer to her as such. But LC was someone who worked in a resisdential facility, isn't fully qualified to be a therapist, and has decided to work with growli as a life coach despite having had zero experience working as a life coach.

LC hasn't adopted anyone, and the only person she is mom to is her own children.
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Many people would be mad to see someone else's place in filth. Not just parents. Friends, coworkers, any family, teachers, bosses. No one likes to see someone else trashing a place and not taking care of themselves at all. It becomes even more sad if someone has been trying to help the other person, and then see how little they've been able to help. It's usually hard to keep yourself separated in situations like that.