Speaker impedance vs. tonal qualities

I'm not hoping to open a can of worms here, but I am curious to know if there is a correlation. Back in years past, when I was doing a lot more with car audio and installing, I seem to recall that there was a relation between the impedance of a given driver (speaker) and it's overall tonal quality and performance. As a very very general rule - and please bear in mind my rusty old memory may not only have it backwards, but possibly just complete wrong here! - I seem to recall that the higher a speaker's impedance, the better it's control, tone, and accuracy.

Now, I do know that the impedance of any given driver will vary depending on frequency, so the relationship in question is meant to be a very general comparison, and is in reference to the driver's stated impedance. In car audio, that impedance was commonly 4 ohms (+/-2 ohms). While home speakers are more commonly in the 8 ohm range again +/-.

So, I'll stick my neck out here, and ask all those here much wiser than I am (read: everyone!) is there a connection that you are aware of? Or is this just an imagined memory of mine from breathing in too much of the MDF dust from custom sub enclosures, or having my brains liquefied by 3,000 watts and 4 15" subs in the back of a Honda CRX my co-worker used to roll? :eek::D