It depends on the actual construction as to whether the single-cut performs any tonal or structural improvements. There are many basses with said feature that only offer something different to look at - and that's fine, because we all like different things. However, if you base your purchase solely on the chance that it will sound better, well, changing pickup type makes a much larger difference to an instrument tone.
You can work in certain 'comforts' afforded by the extra wood though. The back of my 'upper horn' on my Shuker 7 string custom bass is designed to sit very comfortably against my upper body. Strangely comforting actually. The heel of my bass starts after the 23rd fret. It has no heel. The upper horn provides extra structural support along with the two bi-directional truss rods and 4 specially placed rod inserts. The body sculpting throughout is tailored to take the fatigue out of long performances and what is a lower upper horn seems to help there too.
Oh and it's a total beast! Be different, be daring, try something new!