It seems to me that a good soundstage is largely determined by loudspeakers, speaker positioning, and room acoustics. Less so by electronics (unless we're talking about digital signal processing, maybe.) I'm not aware of any metrics that directly indicate soundstage size or holographic image quality.
So IMO the short answer to the OP's question is "no", 3D lifelike sound and impeccable measurements are not mutually exclusive. But that is mainly because the measurements that are usually available seem to have little or no bearing on soundstage/imaging. Does a higher SNR ratio and "blacker background" have some positive impact on the soundstage/imaging? Probably. I don't know how it would make things worse, everything else being equal (which rarely is the case).
So IMO the short answer to the OP's question is "no", 3D lifelike sound and impeccable measurements are not mutually exclusive. But that is mainly because the measurements that are usually available seem to have little or no bearing on soundstage/imaging. Does a higher SNR ratio and "blacker background" have some positive impact on the soundstage/imaging? Probably. I don't know how it would make things worse, everything else being equal (which rarely is the case).