Will I find the exact replacement I need that will bring harmony to the existing crossover? Not likely, but chances are good that I'll find something 'good enough'.
The thing is it's not like replacing a Mazda 6 with a Toyota Camry. If you have a different midrange driver, the sound balance may be too off that it would make the sound unlistenable and since our hearing is most sensitive to the midrange, the problem is exacerbated. For example, if the new midrange driver causes the midrange level to about 2-3db higher than it should be, then sound may actually hurt your hearing. Or if the new midrange driver ends up to have the region around 6-8khz to be elevated, you'll have excessive sibilance ... well I think you understand my reasons.