I am finding conflicting information on the topic of square winter wheel/tire packages. Neither the retail tire stores nor my local BMW dealer are recommending a square setup. They are not saying "it's not advisable". They are just silent on the matter without explanation. They all recommend 245 F and 255 R in either 18" or 19" diameters.
But then there's this, from page 295 of the owner's manual...
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Although it stops short of saying that an 18" 225/50 or 245/45 square setup is "recommended", it certainly implies it's OK.
On the other hand, the very same document says this...
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So, if you adhere to the "divide the tire load by 1.1" guidance to winter rear tires, t
he only sizes that comply are the 255 options. This may be what the tire stores are seeing when they are sticking to a staggered recommendation.
BUT, my 255/40R19 OEM Pirelli P-Zero summer tires don't meet the "divide by 1.1" rule either! So, it's obviously not a hard-and-fast rule.
I've come to the conclusion I've overthought this. I may just flip a coin.