I own a Player P and love it to bits. With rounds and a pick, it's a grindy rock machine; with the tone rolled back and some fingerstyle, it's silly and smooth. The nut width at 1.625" is slimmer than a Vinterra, but it is also substantially meatier than a jazz neck. For me it's almost perfect.
I spent quite a bit of time at the store with the Vintera, and while I have nothing bad to say about it (it was quite nice), but I couldn't get along with the large but width. If you like that width, I think you'd be happy with the Vintera, but if you're just looking for something more substantial than a jazz neck, but still sleek and playable, is look at the Player P or American Pro.
I do have to mention that the bridge on my Player P had a fault, and I've heard of some others having the same issue. The saddle for the g string kept falling lower than I set it, but it was easily fixed with some plumber's/thread tape for less than $1.
I spent quite a bit of time at the store with the Vintera, and while I have nothing bad to say about it (it was quite nice), but I couldn't get along with the large but width. If you like that width, I think you'd be happy with the Vintera, but if you're just looking for something more substantial than a jazz neck, but still sleek and playable, is look at the Player P or American Pro.
I do have to mention that the bridge on my Player P had a fault, and I've heard of some others having the same issue. The saddle for the g string kept falling lower than I set it, but it was easily fixed with some plumber's/thread tape for less than $1.

Why, exactly...who knows? But there is no "right" or "wrong" there. One must figure out which works for their fretting hand on their own.