Yes I get this behaviour on the ground.
Did that with my girlfriend to show how eastmy it is to replicate, since you ask me this now it seems you have still not tried that.
So stay on the ground, full up on cyclic, it will flip over.
It does not flip over when you find the TRUE up on cyclic.
And I dont need to fly the chopper with small inputs if the cyclic is turned the right way, you can man handle it then if you want to, the chopper does what you tell it after that.