Carving statues is hard work..
and due to the time required, the subject  might be finished
before the statue..  So, statues were made to accommodate
any set of heads and usually hands.. to match the current
dignitary...
Places - Roccelletta
Roccelleta

This theater served
both Greeks and
Romans over several
centuries.
having statues made,

but they didn't care about idealizing
the human body the way the Greeks
did..