If the people who test drove your car are unfamiliar with the the unusual characteristics of the Z4M suspension, they may have misinterpreted what they could feel. Especially if they were driving only on the track.
I covered 25,000 miles (including over a thousand miles on the track) with Eibachs and standard shocks and the shocks were in perfect working order when they were removed from the car. This combination marginally reduced body pitch and roll compared with OEM and improved the inherent understeer. However, it was only once I'd fitted RTAB limiters did I realise how vague the rear of the car was without these. Unless you have collateral evidence that you have a failed rear shock or shocks, I would suspect that the soft front / hard rear spring setup and lack of RTABs was behind the problem your test drivers detected.
I've fitted RE rear top mounts, Turner RTAB limiters, KW Clubsports with camber/castor plates, and H&R ARBS front and rear as well as reinforced front strut towers, an OEM strut brace and Vibratech competition engine mounts. This has transformed the handling of the car on the track with balance through the bends and significantly shorting braking distances. However, you have to be committed to track driving as the car really lacks compliance on the road (and it was bloody expensive!).
I would suggest asking a competent mechanic to look critically at your rear shocks. If they are in good working order, spend your money on a RTAB limiting kit instead.