Joe Root entered the top 10 of England Test run-scorers with his double century against New Zealand in Hamilton.
Hodgkiss was appointed to the role in 2017.
The suspension was connected to Smith’s sanction following the ball-tampering scandal.
Professional commentator Mark Church says he is ‘hanging on the coattails’ of 10-year-old Isabelle.
The former England captain would rather see the first-class competition abandoned altogether than played in a ‘meaningless’ form.
Sibley came good and ended up finishing the series against South Africa as England’s top runscorer with 384 runs.
There will be no professional cricket until May 28 at the earliest.