Going by the profile you’ve posted, it’s a very mild V, you will hardly notice it.
The extra material removed is from the sides called the shoulders. Usually done on necks that are 1inch deep for a more comfortable feel, retain the comfortable depth of the neck while having a shorter path to the frets.
A typical use of V necks are in what knows as a “Boat Cut”, wherein closer to the nut the V is more pronounced but without hard angles, it’s more elliptical and the neck is a “no taper”, ie: it’s 1inch depth all the way nut to the body, this cut has the V morphing into a C or U shape gradually as you move up the neck from the nut. edit: these are usually more expensive due to the complex curves and are mostly hand carved.
These necks are quite frankly amazing in the hand, I had one on a strat but the only issue was it was the narrower vintage nut width that didn’t work for me, I’d love a guitar with this cut and the std. “wide” fender nut.
The main thing with a deeper neck (1 inch) is that it’s actually more comfortable even for smaller hands, sound unintuitive but it’s actually a thing. For some reason the MIJ guitar houses used the marketing mantra, thin is fast, that’s total BS, if anything it’s painful once you get used to a deeper neck.
As with all these things one must have played both styles over a sufficient period of time to have their own informed opinion. There is however a consensus on this, big is good, shoulders and over profile matter though. Big (1" no taper) necks are usually called baseball bat profiles, the V as in your picture could be a 1" depth no taper but due to the material removed at the shoulders, they’re more comfortable and thus rather desirable.
Also having more wood on the neck does change the tone, but that said, no two pieces of wood sound the same even if they’re made from the same plank. Some are dull, some are bright, some are balanced etc and all that.
Hope that helps some