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?
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b_limo if that's the case, the poor OP will spend the rest of confinement with disappointment.

Meanwhile, I will go back to listening to my speakers that join the rest of the pack-a box in a real world setup that probably doesn't see anything below 40Hz or so?

At least that's what the wisdom has been telling me for years.

I let the subs to do the dirty work.
The mani’s are a better speaker than either the Forest or hawk but they are the hardest to drive because of the isobaric woofer setup. I met Vince many times At different shows and he thought the same about the mani’s. Used you can get a pair of mani’s for around $2000, then you need good stands which I used the 4 pillar target stands and filled each pillar with sand. I had multiple pairs of mani’s in different rooms. Don’t skimp on power for any of the totem’s except for the arros. If you like totem and can spend a little bit more, go for the wind, easier to drive then the mani’s and has more fuller sound than the other totems. I sold all of my totems and went with Usher speakers. Big jump in SQ. Totem Are nice speakers 
Here is my 2c if you want to hear it:
- Totem response is +-3 db, while Forest have a -+2 db--> advantage Forest, as at the edge of the spectrum, Forest should sound "louder"...- Totem sensitivity is 88 db while Forest is 87 db --> advantage Totem: again, at the same volume Totem should sound "louder"- and then is the room, the way you have them positioned in the room, the component speakers used and so on ...It is hard to compare stuff w/o making sure you have them at the same sound level, same music track, same place, same situation ...etc.I would say - and this is what i do - always go for what / how you hear and like it. Nothing is perfect, so the beauty is in the eye of the beholder .. ;)

1. Room acoustics.

2. There is very little energy between 28hz and 32Hz in most music unless it's been put there artificially.  If you really want to put the two speakers to the test--assuming you have both available to you--you need to get a test disc with several graduated test tones in that zone.

3. Put on some music you love, and enjoy the improvements wrought by the Forests.