Can interconnect cables improve sound stage height, width, and depth?

"Wire may be wire," but the design and implementation of a cable does affect it’s sonic presentation. I have found it has to to due with the metallurgy and how it’s implemented by the designer.
Look at all the different conductors and dielectrics used in IC’s and other cables. Conductors may be copper, silver, gold or any combination, they may be stranded or solid. And then there’s the metallurgy and design of the connector.

An IC doesn’t have to be super expensive to be a good performer. Grover Huffman makes excellent affordable cables that are transparent, organic, with wide and deep soundstaging.
At a higher price point Siltech cables offer realistic inner detail and an image that is focused and extends in all directions. Purist Audio Design offers different lines of cables, each having it’s own signature, but all offering an excellent soundstage. Silent Source offers a sense of realism and the reproduction of the soundstage as it was originally recorded.
The Cardas Golden cables, IMO, have a closed-in soundstage, while the Clear line of IC's present realistic height, width and depth.

A budget cable such as Belden produces a very good soundstage in terms of height, width, and depth, but lacks the nuances and organic characteristics the above cables provide. My 2 cents.

Every set of cables I own introduce different characteristics of the music, but compared to basic cables, you hear more. Those who say no differences, are either deaf, do not have a high resolution system, nor have tried any. Them the facts !

blamere
Yes! to your queries. System synergy is key. Certain brands of gear will fare better w/ their voiced cabling. Sometimes, we get lucky per mixing and matching different brands of cables/cords. A fun experiment indeed.
Happy Listening!

Try Purist they can do this with no problem great co and they are extremely well made.

@geoffkait putting them in sideways results in marked improvements on all fronts. Try figure 8s and braiding them as well. 

@blamere Different ICs definitely sound different. Sometimes different sounds better because it’s sounds new. Sometimes different sounds worse because it’s bad. Try some cables from different companies with fair (30 day or more) return policies. It’s a fun exercise, worth the shipping and you’ll probably find something you like!

I recently tried Morrow cables and have perceived more depth and detail than before.