It's manga/comics logic one of the few mediums where this works. It's weird how people talk about immersion not really knowing what phrases or words mean. You are thinking of your suspension of disbelief rather than immersion.
He's not a pathological liar LMAO. He caught up in one really big lie. And if you are talking about him hiding his PRIVATE living situation from others combined with this not everyone needs or deserves to know.