can't comment much on the mechanical issue, I just brought my X before snow too.

However, I can share my experience with you. I've driven in deep snow (with rwd 335 and bunch of AWD) since I got my license.

With the X, summer tires (almost bold) on fresh wet snow,
DSC on = feels like RWD with PSS summer tires, back end kicked out everywhere
DSC off = don't even think about it. just like driving my 400whp 335 with summers in deep snow

Winter tires (~3mm left, so almost bold too) on deep snow 30cm, give or take,
DSC on = unless you power out something, or hit ice surface all the way, car behaves like normal AWD, but, if you put your foot down, it will spin the rear and rear only.
DSC off = good luck. just like summer tires with DSC off.

So, IMO, if you have doubts with your mechanical issues regrading DSC, don't drive it in snow until its fixed. DSC played a major role in the X as comparing to my old e46 AWD, e90 AWD, e92 RWD. DSC in those cars are less of a factor.

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2002 X5 4.4
2007 335i - catless DP, Cp-e CP, CAI, MHD tuned ~17psi, AG m310 19's.