Well, it's not "EQ", but *sensitivity* that can create the problem of image drift, depending on what you're recording and the distance, at least that's my take.
My example was a violin-viola duet. They have a fair amount of overlap in range, and if you're not close micing, but trying to primarily capture them separately with mics that do not have similar frequency and polar plots, the (sensitivity-"infected") bleed is in the track where you don't want it, possibly masking the instrument you do want, and EQ is not going to fix that. Imagine a bluegrass band playing in front of a single mic, and every time the fiddler plays on the A-string they take a step forward. (Admittedly, had I known about this ahead of time, I would have changed the mic placement!)
Relatively close or a single source (i.e., not widely spaced over a grand's strings) should be less of an issue, if any at all.
Really, like all mic choices, for me, it's what do I pick to make my life easier when it's time to mix. These days, I choose a pair of SDCs that are known to be alike. (Especially since I have sold my two "one each" SDCs, though I could, at least now, choose one SDC from each pair. But, I would not do that.)