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I agree, what's important is how the drivers interact, especially beyond the crossover frequency, and so it's important to make driver-unique adjustments so that they play nicely together. Whether that's done using independent FIR's (plus crossovers) for each driver, or done with different IIR's (EQ and crossovers) on each driver + a global FIR correction filter, shouldn't make a difference. The smarts are in how we make and interpret the driver measurements.

If we both phase match two drivers (or horn and driver) and suppress out of band oddities using IIR filters independently for each driver, and combine this with a FIR filter to linearise the phase of the combination, the result is the same (assuming the same magnitude profiles for each driver) as linearising the phase of each driver independently using FIR filters plus linear phase crossovers. The workflow of one may be easier than the other, depending on experience and taste. In both cases, temporal issues are addressed by the phase linearisation in the FIR. Remember, phase and time are duals of each other.