Death wobbles on a ZX9

Ive been riding around on my bro's 01 ZX9
When you accelerate then cut the throttle and let go of the handle bars the steering starts to shake.
the shake gets worse and worse (if you let it go) it looks like it will become a tank slapper if you leave it go like that. As soon as you grab back hold of the bars it brings it back under control.
You dont really notice it if you keep both hands on the bars though.
it went in for a service today and when i picked it up the guy reckons the discs and bearings are fine. he didnt seem to have a very comprehensive workshop so i am wondering how the hell he could tell if the discs are warped or not.
the only other thing that i can think of is wheel balance but i have no experience of riding a bike with bad wheel balance so i dont know what that would feel like.
has anyone experienced anything similar? or got any tips on what i could check/test.
really its gotta go to a professional to get it fixed but im worried that if this bloke today couldnt diagnose it then maybe other places wont either and will just replace shit till they get it right ie making it very expensive.
PS. the bloke today was a really good guy and seems to have done a good honest job on the service he just couldnt solve this problem so im not dissing him -atleast he was honest with me.
When you accelerate then cut the throttle and let go of the handle bars the steering starts to shake.
the shake gets worse and worse (if you let it go) it looks like it will become a tank slapper if you leave it go like that. As soon as you grab back hold of the bars it brings it back under control.
You dont really notice it if you keep both hands on the bars though.
it went in for a service today and when i picked it up the guy reckons the discs and bearings are fine. he didnt seem to have a very comprehensive workshop so i am wondering how the hell he could tell if the discs are warped or not.
the only other thing that i can think of is wheel balance but i have no experience of riding a bike with bad wheel balance so i dont know what that would feel like.
has anyone experienced anything similar? or got any tips on what i could check/test.
really its gotta go to a professional to get it fixed but im worried that if this bloke today couldnt diagnose it then maybe other places wont either and will just replace shit till they get it right ie making it very expensive.
PS. the bloke today was a really good guy and seems to have done a good honest job on the service he just couldnt solve this problem so im not dissing him -atleast he was honest with me.