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afaik, there is a tecnical delay in the bass regions of a drivers since the soundwaves start from zero; meaning that the lower the frequency the longer it takes to get to the peak since the soundwaves become bigger. then there is the fact that more mass is beeing moved also.
So the tolerancy you decribe is explained by the fact that drivers were always like this. we are used to it. now that doesn't mean that a perfect group delay doesn't sound better, since it is what occures in nature
Driver mass is not inherently a cause of “slow” bass. In fact, a bass driver of any size/mass may be made to reproduce bass without excess group delay. The reason this does not tend to happen in practice is (a) that bass drivers must roll off, which has corresponding (minimum-phase) effects in the time domain, and (b) that bass drivers tend to be crossed over to midrange/HF drivers: the low-pass filter introduces a delay.
For practical proof of this, look to the step responses of speakers that are linear phase, either as a result of digital processing (in the case of the first example, below) or due to use of 1st-order crossovers (second example, which incidentally uses dual 10" woofers and is a fully passive design):