That is not entirely accurate nominal impedance(4,6,8 ohms) will not tell you how much louder your speaker would play that depends on other factors.
Although what that will tell you is what kind of an amplifier you need to drive it with.If its a 6 or an 8 ohm fairly efficient speaker it would sound good with a receiver.
If its a 4 ohm speaker it might need a power amplifier since there are lot of sudden impedance dips when the bass hits and thats why you need a quality amplifier to be able to have enough power during these impedance dips.
Sensitivity of a speaker would also tell you more about the speaker whether it is easy to drive or hard. 90db and above are considered efficient and mid line receivers power them fine.
Buddy...
Do you mean to say, that a 4Ohms speaker, require special power amps...???
Then what about the amps, that offers, range of 4-8 Ohms, and what about the speakers which have the 4-8 range impedance..
Anyways, which amplifiers do you suggest for driving 4 Ohms speakers...???