Uh How about let me say something, Generally BPs > Jesters Why?
Astralaikuum = 1 hit ko
Astralaikuum is long range i believe.
Even if you kill the bp first, you'll still die, due to Astralaikuum having a delay~, Unless you can 1 hit, or kill before stun is over.
If a jester sneaks attack and kills in 2 hits then maybe the jester will survive, other than that Astral will definitely kill you.
P.S. Why I say Astral is long range? Because one day I was in the arena on my Psy, and I sataned a Bp and ran and then started attacking, and I got killed by Astral. But I was kind of far away.
So, in conclusion, with jester's short range(yj) or even bj's "long range", the BP will usually kill you, even if you kill him/her first.