My understanding is it is better for electrostatic noise rejection but there may be circumstances where shielded twisted pair is better for magnetic.
Twisted pair exposes both wires evenly to electric and magnetic fields causing identical induced noise currents that cancel. It is extremely efficient, as long as the pitch of the twist is much smaller than wavelength of the offending electrical noise. Shield works great at higher frequencies where, in spite of being non-magnetic, shields by means of skin effect (noise currents flow on the outside - shield). Shielded twisted pair is the best combination.
As for grounding the shield - I would always ground it at the source and never at the receiver end only. The reason for this is that induced common mode electrical noise (identical in both wires) normally would cancel, but since both wires have impedance and slightly different distributed capacitance to shield, grounding it at the receiver creates two lowpass filters at two different frequencies converting common mode to normal mode signal. We’re talking of few picofarad difference, but at very high frequencies it can makes a difference. Also, intuitively I wouldn’t drain electrical noise from the shield into more sensitive side (input) device.