Yes it does but:
A. its much harder to set up right

B. the speed increase factor isn't needed here - very roughly 2600rpm to 3900 rpm for a 16mm screw. Even with a 1605 screw the lower end is >10m/min, far more than you'll achieve in reality

C. It needs more complex machining of the ballscrew end

D. It costs more

By your own admission this is your first build so KISS IMHO :D