Yes, and this is the same thing the comment I was reply to did. POSIWID is a bad phrase to bandy about in exactly this low-resolution way. If you want to make a more complicated argument, feel free, but we don't have rules for logic like "A & A->B ==> C if I don't feel like explaining".

You have to go through and explain the thing by making a good argument, or else you're just adding noise to the conversation.