The directionality of microphones is largely down to the diaphragm size. There can be small differences in the structure around the diaphragm, and there can be capsule resonances. If you use a 1 inch size mic to model another 1 inch mic on axis then you probably are going to get very close. Especially if you use convolving/de-convolving rather that straight EQ. But if you use a half inch mic for LDC's then it isn't going to actually work.
Here is the pattern and FR for a .75 inch KSM32
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Here is a 1 i nch KSM27 which has a very different FR and poor off axis response at higher frequencies.
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Here is a 1 inch Lewitt LCT540 which looks very similar in polar pattern and not terribly different in FR to the KSM 27 which is also 1 inch.
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