I have never owned a cue with a traditional leather wrap.. However, from time to time, I have been able to play a bit with several such cues owned by various other people. My sensation from these wraps was, nearly without exception, that my fingers kind of "melted" into them in such a way that the entire cue, itself, felt like an integral part of my hand, and NOT as a "tool," for instance, that I held in my hand.
In 2002-03, my cuemaker, Paul Allers, and I designed and produced a cue upon which, as an afterthought, I had Paul apply the Tiger Stack Leather Wrap. Man, it DOES look sharp!!!
After about 6 weeks of play, its surface, which I had not treated with anything, began to dry out and get a little rough. I went down to the local Centex (farmers' supply) and got some excellent saddle soap and conditioner. I gave the wrap about 3 thorough cleanings and conditionings over about a 2-day period.
It now looked very nice again, but was still a bit rough. So, since it's leather, I worked in 6 coats of shoe polish, using approximately the same method needed to acquire that "high military shine." That was in Spring, 2004, and I haven't had to touch it since, other than to occasionally rub it down 5 or 6 strokes with a decent towel. This cue, since I have owned it, has gotten consistently at least 10 hours of use PER WEEK.
OK, so how does it feel? At first, it was hard to the touch, almost like an unwrapped handle, but yet had some warmth to it. During the first 6 months of use, it began to soften slightly, but was still fairly hard to the touch.
After I cleaned it and put the polish on it, it was hard again, but now it was a bit cooler to the touch. Constant use over the next 8 months softened it up quite a bit and now, over the next 2-1/2 years, or so, it has softened up even more. It is now much softer than linen wrap, but still much harder than the old traditional leather wraps I remember.
I guess that what I am trying to say here is that this wrap was actually somewhat uncomfortable to me until it got worked in a little bit. I figure it took about 3-4 months of constant use before it started feeling like leather instead of, oh, say, concrete?

But I do WAY PREFER this wrap over linen wrap!
When it was first put on my cue, it was a bit slick and would slide a little on some shots. As time went on (a couple months) and the leather got worked in, this slipperiness almost competely disappeared. As a warning, the slipperiness returned when I did all of the cleaning and polishing. It also returns to a small degree when I do the towel-rubdown thing.
None of all of this I have written so far ever effected my NORMAL SUBSTANDARD performance in any way
The one last thing I will say about this wrap is, when it was new, freshly cleaned or is recently rubbed down, it gives me "ROPE BURN" on most of my high-speed, power shots! So, I don't rub the wrap down until it gets so crusty I can't stand it.
On my high-speed strokes, I have a habit of clenching the cue just a shade before, or often even JUST AS, I make contact with the cueball. Although I get a lot of drive this way, these mechanics allow the cue to be forced almost instantaneouly backward about 1/4" inside that tight grip -- this is what causes the "rope burn." Now, since it's broken in, a couple hours of sweat on the wrap makes this no longer a concern.
So, the BIG warning is that if you decide to go this route, BE PATIENT! You will likely NOT like the way the wrap feels or works at first. However, the initial hardness WILL tone down to a very decent comfort zone over a few months of time, and its workability will also improve during that time.
The best thing to do is to find two cues with stack wraps, one that's LESS than a month old and another one AT LEAST 1 YEAR old and has been used as a shooter -- this is the way to make your comparison. And, you should do this YOURSELF, and here's why:
MY handle preferences:
1. Traditional leather wrap
2. Cork wrap
3. Stack leather wrap
4. NO wrap
5. Linen wrap
See where I placed linen wrap for MY OWN preferences? -- That's why!

-- oft heard on this forum: "Different strokes for different folks."
Whatever you decide to do, best of luck and enjoyment to ya!