Does ASA do a similar thing with operators into Sydney?
No but they should. The NATS Review of Sydney included runway occupancy times and it some of the statistics were astonishing, Singapore Airlines had the longest runway occupancy times by a long margin. Sadly nothing has changed.
Keg, the 767 is already being missed, being able to fling them in a tight gap, I guess in a few years we will look fondly on the 330 (or hopefully the 787).
Back to topic, balancing the runways at Sydney is vital to increasing capacity/reducing delays, all 330's and 787's being able to use RWY 16L/34R is a recent change. Jets via Wollongong from RWY 16L is another. For a while Air New Zealand and Qantas aircraft across the ditch were pushed over to depart RWY 16L/34R, now it is all carriers.
If a pilot uses the magic word "REQUIRE" then no problem, it ain't that hard. Perhaps when pilots ask "REQUEST" the response should be "is that a preference or an operational requirement?".
RWY 34L long haul departures to mainland USA and South America routinely REQUIRE a SID RADAR and a RIGHT TURN. Do I believe it to be the case 100% of the time? No, but if they say "REQUIRE" then they get processed accordingly.