I agree with Millercarbon. Phase and tme alignment is critically important, but when it compromises other aspects, then you will get a less than desirable effect.
BTW, absolute phase and time alignment is IMPOSSIBLE to achive for the entire spectrum of 20Hz-20kHz. Phase correct means only that the crossover regions are not out of phase.
Time alignment also applies only to limited frequency ranges...
Nevbertheless, when a manufacturer is aware of these parameters, and stirves not to make blatant errors in these areas, it does make for vastly better speakers compared to those where the manufacturer is unaware of these issues.
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