If a single Pokémon in the chain is taken out, it pretty much ruins the chances of success. Essentially a single strong attack, or crit ruins it entirely.
If you're an idiot. My BP team is built around 3 passers. two of which cannot attack, one of which can sweep by itself. Then 3 sweepers to pass to, both physical sweepers, and special. All three of them can buff THEMSELVES and sweep full teams if they need to. My team is immortal to all common threats other than haze.