Do all Class D amps lack soundstage depth?

Recently I bought a class D amp for my friend from Audiogon - PS Audio Trio A-100. In general, I liked it sound very much. Compared to the power section of my much cheaper integrated amp (NAD C320BEE), Trio A-100 sounded fresher, more transparent, richer and juicier. NAD was obviously duller and more reserved. Trio A-100 seemed to energize the air with a sort of vibrancy, while NAD seemed more lifeless. (Of course, I am exaggerating the difference between the amps a bit to make it more clear how they differ from each other.) However, Trio A-100 lacked one parameter, which is very essential for me and without which I cannot truly get lost in the music – namely, the soundstage was flat. It wasn’t absolutely flat, no – but NAD did so much better in this department. When NAD was playing, I heard which instruments and singers were farther from me and which were closer to me. When Trio was playing, everything seemed to be on the same line, equidistant from me.

The previous owner of PS Audio Trio A-100 had told to me about its sound before I bought the amp from him, and he frankly admitted that the soundstage was kind of flat. Before this purchase, I nearly bought another Class D amp – namely, Bel Canto S300. Eventually, this amp went to another buyer, but the owner shared with me his impressions about this amp and, among other things, he wrote: “There might be less depth with some recordings”.

So, at least two owners of Class D amps confessed that their amps lacked soundstage depth.

I wonder – are all Class D amps like that? Is the lack of depth something which is intrinsically inherent in Class D?

My second question is – what if I buy TWO Class D amps and use them as monoblocks – will it solve the problem with the flatness of the soundstage?

Any advice based on personal experience will be much appreciated.
For digital, I auditioned the PS Audio HCA2 and bought and used the BC Ref 1K for over 6months. Both of these amps were good and offered smooth, clean & clear sound but the soundstage were very shallow and does not give good spacial/locational information.

Then I got a Nuforce amp and after letting it burn in 24/7 non stop for over a month, I got the biggest, widest and deepest soundstage I have heard in my set up. If anything, I noticed soundstage deficiency in other set ups compared to mine. Like anything, any generalization will meet its exceptions and the Nuforce is definitely one of them.

Thanks, Kenk168! Looks like Nuforce is among the favorites, when it comes to digital amps...
Just a bit of clarification:

The term "class-D" is sometimes misunderstood as meaning a "digital" amplifier. The quantization of the output signal at the power stage can be controlled by either an analog signal or a digital signal. Only in the latter case would an amplifier be using fully digital amplification.
I also have the Trio A100 with the matching Pre and the presentation is not only deep, but tall and wide as well. I agree that system synergy and speaker placement is key.