Here is a good real along this line of thought.
http://www.luminous-landscape.com/tutorials/sharp.shtml
Each brand has some lenses where the occurrence of this '3D' effect is higher than other lenses.
On some brands, ppl call it '3D', others call it 'pop'; etc (the Pentax ppl like to call it 'pixie dust')
Some ppl discount it altogether as being happening more often on some lenses, and attribute it to shallow DOF, lighting and photographer skill (so any lens can do it).
Personally I find that it is a combination of shallow DOF, very good sharpness at point of focus, contrast and micro-contrast as well as rendition and lighting.
To me this effect occurs more often on some lenses than on others and sharpness is not the only factor but usually a pre-requisite. Price is certainly not a criteria as well.
Here is one shot with a MF Pentax M85/2. Not an expensive lens at all.
Another one from a K24/2.8 (again not an expensive lens). Stopped down and wide angle, so less DOF is certainly not the principle criteria here.
Lenses are designed for sharpness, contrast, aberration control, speed, size, etc. There is no free lunch, certain aspects are traded off for others. There will be nice and not-so-nice lenses in any brand.