That's quite the fakeout with the cat.
Also, Moe being the one who leaves first? Didn't see that, but it makes sense. I do kinda like how this shows how she really is just an 18 year old, in over her head the moment the stakes tip a bit higher than she's prepared for.
Maybe physical distance will help her clear her head and better decide how to proceed against Akemi. Assuming she can get out of the house, but it's not like they can stop her, short of tying her up in her room or something. (Not that I'd put that past Akemi, buuuut)
And Ken could come back home and resume his delusions of a happy family if Moe leaves. So he'd be happy too.