Which sounds better 2 way or 3 way speaker design

"Dedicated midrange driver" is typically an oxymoron and very few three-way systems will not put some of the midrange in the woofer and/or tweeter.  You would need to run the driver from ~80Hz-~4kHz for it truly to be "dedicated" to the midrange.

I have no knowledge of the three speakers in question.

Whether a 2 or 3 (or 2.5 or other) way is best is dependent on the selected components, construction, and it’s implementation. There are fine speakers made in many "ways" and I don’t think that the actual number of drivers is the important factor in deciding which to choose.

In general, I would think that a floor standing speaker would offer more cabinet volume and this would typically allow for a deeper, more generous bass. But of course there are exceptions to everything.

I’m partial to my 2.5-ways. They use a JBL 18", a JBL 9.7", and a modified Heil. (BTW, a Heil is equivalent to 8 square inches of tweeter surface.) And these do keep the midrange in the 9.7 going all the way up to ~3,500Hz before crossing over to the Heils. This maintains coherency, staging, and imaging. I really don’t fret about a wide dispersion as I always sit in the sweet spot, and a narrower dispersion results in less wall bounce for better staging and imaging.

So lest someone think fewer ways means less cone area, think again. Some of the biggest speakers are 2-ways.

Actually, the Heil is 29.76 square inches of tweeter surface.  I was too late on my edit. 

Of course 3-ways would be bigger than 2.5-ways which should obviously be bigger than 2-ways..., right???

These Super Big Red 2.5-ways are only 15.5 cu ft. Those are Chartwell LS3/5A 2-ways on the floor for comparison.

A 2-1/2 (2.5 way) uses two "lower frequency" "drivers" and an "upper frequency" "driver".

One of the "lower frequency" drivers is allowed to play all the way down to its lower limit and crossed over to the "upper frequency" driver just as a typical 2-way speaker would be crossed-over (or bi-amped).

The other "lower frequency" driver is also played down to its lower limit and is not allowed to play up to the high frequency driver, but rather rolled off at some lower point.

The "upper frequency" driver, is just that.

Any of the drivers can be any of the designs (e.g., cone, horn, Heil, electrostatic, etc.) so long as it can do the job and that has nothing to do with the number of "ways" in the system.  So, at least in theory, if you add a sub to a 2-way, you now have a 2.5-way.

I have two 2.5 ways myself. One is a Super Big Red that uses a Utah aux woofer (the 0.5 way), the Altec 604’s paper cone, and the Altec 604’s integrated horn.

The other is my own creation and uses a JBL 18" woofer (the 0.5-way), a JBL 9.7" woofer, and a Heil AMT.

The JBL 2235 is their contribution to the 2.5-way market.

Ooops, 4435.  Stupid edit time out!

I said ~80 Hz for the bottom of the midrange because the idea is to keep at least the fundamentals of the human voice within one driver and there are those who can certainly sing lower than that.