Managed to model the shielded loop in MMANA. Single turn loop, with
one nearby wire as shield, and two nearby wires as shield. Set the spacing
of the wires 10mm and 5mm away from the loop, didn't make any difference
in results. [using 0.8mm wires].

The single shield wire improved the E-field rejection a little bit (maybe 3
db)
over the unshielded loop. Two shield wires degraded the E-field rejection as
compared to the single shield, but still a tiny bit better than the
unshielded loop
(maybe 1 dB better).

Pretty much the shield provides very little E-field coupling compared to the
H-field response of the loop.

So I'll retract my initial statement.

-- Tom