Iono, she just lives forever there.
On the one hand because the stage is huuuge.
On the other hand because it gives Sheik more options to recover so it isn't as easy to punish her (i don't say it's hard tho)
There's the top platform she can upB/aridodge at
If the opponent doesn't edgehog in time (cuz he tries to cover the top platform for example), Sheik doesn't have huge problems to sweetspot the ledge
If Sheik can't reach the top platform anymore and the opponent edgehogs she can go for the barrel (if it's ar away, tranforming into Zelda+upB towards the barrel may work)
I don't see anything that harms Sheik on KJ64 tbh
With her high jumps she can push opponents who recover onto the top platform offstage again without much effort.
With her needles she can give some chars a hard time if they want to sweetspot the ledge.
I don't know if the centre of the stage makes huge differences for Sheik but don't think so.
That's my impression about Sheik on KJ64, but i don't have that much experience on that stage, so if im talking bs just tell me xP