What i have saw different writings about Z4 tramlining i believe that it has same problems with E46 series. Actually Z4 and E46 are quite similar.
We have worn and poor condition road network in Finland. E46 has to be 100% condition and wheel/tyre set must be just correct to avoid tramlining. My father bought E46 new 2005 with 16" summer tyres. (Non runflat, standard tyres) and it was tramlining even when brand new car. For example some Renault sport clio which i had before was so easy to drive and it went like a train straight.
I can give some tips if you want to Z4 or E46 series go straight, or at least so straight as possible.
- NO runflat tyres
- 16/17 inch wheels, 225 max (front/rear axle same size tyres for example 225/45/17 all around)
- New tyres tramline less than worn ones.
- No sport tyres like michelin pilot sport, for example goodyear eagle f1 asymmetric 2 or hankooks do job fine. Some said that Uniroyal rainsport 3 is good too.
- Check pressures, you can put 5-10% more than owners manual says.
- Front traction control arm bushes has to be in good condition.
- There should not be any worn parts in car suspension.
- Tracking set carefully. E46 need some special tweaking for front to get front camber in correct position.
With those things corrected even E46 with 17" tyres is quite good to drive, but you cannot compare it to FWD cars..
I have Z4 which i bought october, and it was tramlining. Front TCA rear bushes were completely dead. (I am quite sure this is the reason for tramlining)...
I replaced those recently i have not drive it yet. But if it tramlines, i will first go to tracking, if that would not help then next step is to buy 17" wheels. Currently i have 255/225 18 Style 32. Tyres are worn dunlop sport maxx non rft.