I actually lay awake thinking about The Cat in the Hat at 1am this morning! (It wasn't what woke me up, if that makes you view me as less of a weirdo)
I decided that there really is something very wrong about suggesting the kids should lie to their mother - presumably to avoid punishment - when they obviously haven't done anything wrong! If they would've got up to some misschief themselves, I wouldn't have had such a problem with the 'lying to mum' thing, though I'm probably still the wrong person to openly condone that kind of behaviour.
But to encourage her to lie to me when someone else has caused the trouble is very, very wrong indeed.
I'll definitely have a good chat to her about this next time we read this book.