Hi Roman,
I will know in just over a week as a mate of mine is going across and has not bothered with the new requirements. I will feed back then.
Apart from that, for others benefit, I was told by my contact at Zim Tourism at BB that the new Private Vehicle Verification certificate is required more so by the SA side but if you have police certified documents you should be ok.
Its the SA guys who have implemented this to try and curb stollen vehicles going across which I find funny as the honest people use the border and the stollen vehicles are driven across the Limpopo illegally in most cases.
Rgds
BruceT