Being a huge P&T fan who's watched them all, of the tricks where they get fooled there are a small handful where someone just flat-out, stone-cold bewilders them. But there are a lot more where they clearly know pretty much what's going on, but either they take a 50/50 guess and miss, or there's some hangup about wording or somesuch. But definitely I agree that they don't miss on purpose for TV reasons.
Agreed. I happened to watch a video earlier today of one (from the US series) and it seems like one that really does fool them [0]. Worth watching if others haven't seen it.