I hope it fixes it but I have my doubts. If the problem persists you could try raising the idle speed as a work around. In the old days we would have adjusted the "base idle" at the throttle body so that the IAC motor couldn't drop the idle as far and the engine would have less tendency to stall. That actually was a warranty procedure for some North American car manufacturers to cover their butts for a poor design! Not as easy to do now because the adjustments, if they are there, are made really hard to get to, plus there probably is something else wrong that should be fixed.
Have you ever had an "injector flush?" (cleaner directly to the fuel rail) That can help with carbon buildup and dirty injectors, sometimes all that is needed.

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1988 325is (purchased new) sold
2004 X5 3.0 2005 X3 2.5
2008 X5 3.0 (new to me)