B21, thank you for placing this most interesting post which has alerted me to the fact that the-new-to-me 'Red-Devil' child of Vulcan the God of Fire may not have a spare wheel,... I am unable to recollect seeing one. This begs the question whether Z4's of any iteration are equipped with a spare wheel; no doubt you will be able to advise accordingly. Having mentioned this, the condition of the wheel which you have recently purchased is in quite splendid condition and the price has made it something of a real bargain. I am thinking that I should peruse Ebay or indeed anywhere else which you may be kind enough to recommend for which I thank you in anticipation of your response.
The issue of a spare wheel is driven by your desire for redundancy / back up vs probability of a puncture vs consequences of a puncture vs negative aspects of carry a spare wheel.
If you drive a stock E89 occasionally and locally probably the most cost effective solution is to have a premium recovery service.
If you range far and wide, on tight schedules, often in areas a long way from acceptable service and support AND you can square the circle of loss of storage capability then at the very least a simple space saver is your minimum choice. I have two space savers…a 17” and 18”…in my case my 380mm/Brembo Mustang 6 pot calipers forced me to contemplate more options as these space savers won’t fit over the very large disc brake pack.
I’ve experienced / seen many punctures that could not be fixed with plugs, gunk, foam so although I carry gunk, plugs as a placebo my hopes are not high of their effectiveness.
I’ve also driven twice cars fitted with space savers on open roads that need you to keep up with traffic and it’s a most unsettling and unpleasant experience…the loss of stability and possible control is very significant.
Therefore, for me, and many of my road charging / touring friends a full size spare wheel is the preferred solution.
For me given two different sets of alloys and both sets asymmetrical any full size wheel will not address completely compliance with all wheel sets.
However..a 235 wide premium rubber tyre that is very close to to the correct rolling radius is going to do a much much better job than a 120mm wide tyre on some very nasty rubber in a grossly dissimilar size.
I trust this addresses your question comprehensively …