Our CFI insists that if there is a LH circuit in operation, then no turns to the right should be made within the ATZ.
That would sound correct ... unless of course as permitted by ATC.
So you are at a deserted airport with no one on the radio other than the FIS guy.
On a southerly runway with left hand circuits you need to depart to the west but turn east ???
No, just wait until you're clear of the ATZ before turning west, not difficult. (Then we're back into the argument about the "leaving ATZ" radio call that apparently we're supposed to make but nobody does.)