In the existing GG and overall game state of 3e schemerunners must 1) be durable 2) have possibility to avoid lock. Bishop is neither.
6/6 stats are good, but possibility to kill 9ss runner worth cheating fate and even using hard beater or two average models to eliminate him. Bishop is not ss-user, he can't reduce damage, so his maximum lifetime is about 4 successful attacks.
The poorest thing about his "schemerunning" is vulnerability to engage-lock. Any model with 1+ engagement range can stand within 1" after battle tempo and bishop loses ability to do anything. Ok, he has 3 AP. Spends 1 to reach btb and two for attacks. Even if he kills his locker, that means his activation is wasted with no profit. That means every 3-4ss minion can turn our expensive enforcer into scheme-not-runner. Just compare with Ronin who says "lol, I activate, move 3 and go wherever I want".
As I said above, schemerunners are durable and have movetricks. It may be challenge for Bishop even to catch good schemerunner. Just compare him with The First Mate, for example (9ss too). Ronin has almost same mobility, can ignore lockers and even may beat harder. But costs 6. Ronin with wanted criminal upgrade is still cheaper and does more.