Airspace class E is also defined as controlled for parajumpers in Denmark at least.
You need a clearance to jump when jumping in A-E airspace, and that clearance will be given depending on traffic.
A controller can get away with only providing trafficinformation after he cleared the jump, no seperation is needed.
I guess most controllers won't like jumpers in the approach and departure sectors, and they most likely won't give the go, if they have known traffic heading towards the jumpers at a lower altitude.