There is no real sound benefit from a SUT, a Phonostage is very very capable of presenting a recording in a away that is satisfying for numerous listeners.
A SUT 'will' add a Richness in Tone to a replay when used as a comparison to a typical MC Stage.
SUT's are generic in their voicing, the Rich Tone being perceived can be scaled from a Hint of Richness ( a tight fast decaying Bass Note is maintained, maybe a little underpinned with weight) through to a Very Noticeable ( very loose Bass Notes with a extended presence, possibly, depending on the individual listener, this Bass Type treks toward the point of being overbearing).
A Head Amp of the designs I have heard in comparison to a SUT, can be described as being leaner in the voicing than the leanest SUT types. A Head Amp can be more in liking to a MC Stage.
To date, as a personal experience, I have not discovered a Phonostage that has been encouraging enough, to not use the options for voicing a Cart's produced sound via a SUT or Head Amp.