Should I be able to hear a 4Hz difference in my speakers?


I have just upgraded from a Totem Hawk speaker to a Forest Signature speaker. The Hawk's specs are 32Hz - 21kHz. They have a 5.5 " long throw driver.
The Forests specs are 28Hz - 22kHz with a 6.5" woofer. The Forests are physically bigger too. 
I can hear the treble more clearly and more detail with the Forests but no more bass than with the Hawks. Should I be able to hear more bass with the Forests or is the difference in specs inaudible?
128x128traceyc
Depending on your amp, one pair may be easier to drive than the other over those low frequencies...leading to an audible difference  I believe the Forest Signature are an easier load than the Hawks at less than 100 Hz but I'm not certain.  What amp are you using?  If it's high powered SS then this may be a moot point.
The truth is, few can, no matter the claim. John Atkinson's measurements routinely reveal that fact.
devialet phantom can do below 20hz and kii audio can rattle your windows. 
@tablejockey , as soon as confirmation is received that a person shouldn’t be able tell the difference in 4hz, then and only then will the music resume