She probably does take a slight bit of exception, because she feels like she doesn't actually complain about Laios that much. She'll be mollified a little to know that this isn't actually meant to be her but his personification of the part of him that thinks critically. She likes the idea that she's his critical thinking.

She'll definitely want to get him his untaken memories, though she'll be worried since one of them is the winged lion. And of course she'll go and visit the fourth head, taking the Moon House shortcut... and be very Concerned that she now knows Far Too Much about Demon Owl Cloacas.

She will fuss a lot over Scruffy Laios and make him let her give him a hair cut because really!!!