No, if there were any measurable response differences, they wouldn't be matched. The type of problems you are describing have never happened to me and I never use matched pairs. The two mics I frequently use for overheads weren't even manufactured in the same year. Never a phase problem when summed to mono that isn't caused by bad placement.
You do realize that mics are matched
within a tolerance. For my Avenson STO-2's that's 0.3dB or something like that. Which probably degrades with age. For other manufacturers that could be as large as 1dB. And that's just for the
matched pair of mics. And only when they're brand spanking new from the factory. Although it depends on ones own meaning of good enough I suppose.
Think about this for a second. If the speakers can't reproduce the problem area, there is no way for it to be a problem. You can't hear problems that the speakers can't reproduce. Just like you can't hear that you have too much 12k when you are only listening to your sub woofer.
My car can't go 200mph, but if I floor it,
it will try. And fail, probably in more ways than one. Although in the right conditions, downhill, favorable wind, straight road, boosted octane fuel, it might actually do it (once). As the tires fly off and other limits of the gear become painfully obvious.
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What I was hearing that made me aware of these issues was phase drift between a stereo image. Granted that's probably much more substantial than EQ. But when your tracks start aligning in full phase reversal the effects are quite apparent. Especially if you have video of say a tubist and for half his gig you can't hear him, but your waveform and levels look good at first glance. And your gear specs within the known ranges needed to record and reproduce his performance. And you know it can do it, you can hear it in the other half that isn't mostly silent.
As for EQ, we don't have simple single pitched tracks. Even when we do. A tone is not just a singular pitch / sound. There are harmonics and other tones in there. If you mess with one, you mess with them all within the limits of the sample rate. Granted that most of the subtleties are inaudible to most folks. Or otherwise lost in the mix of the actual track or the listening environment.
But you can generate test scenarios that will be very audible. ID a pitch that's obvious in a recording. And notch out the pitch that is exactly one octave higher than it(2x's the Hz value). Notch is just another form of EQ, specific pitch (or pitch range) down to zero. And see if you notice something. Sure you'll notice the EQ that it is, but also notice what it does to the character of the sound. Does it even sound like the same instrument? Or even a related instrument. Suffice to say that less is more in a lot of ways when it comes to EQ and stuff.