So to clarify, based on current timezones and
@jb747's noting of approx 24 hours elapsed time for a one-stop SYD-LHR flight, to arrive after the LHR 0600 curfew ends the departure from SYD must be after 1600 Sydney time. So there is a bit of a sliding window for afternoon/evening departure from SYD that will make for morning arrival into LHR with some buffer for small delays.
For the return, arrival after 0600 into SYD means a departure from LHR after 2000 London time. If you leave LHR any time earlier than 2000, you will arrive into SYD before the night curfew has ended.
Note these times vary by one/two hours based on NSW and UK daylight saving time windows.
So unless you have somewhere else to operate LHR-xx_-LHR during that time, its park and wait time for the aircraft until some time after 8pm.