I remember when we all started calling them skids.
It was around 1988/89.
Some pissed sheila in the main street of Campbelltown yelled at one of our group as we were cruising up and down Queen Street, "Do a skid, mister!"
We cracked up,(for the reason you stated above) and it instantly entered our vocabulary as a tool to mock each other with.
I doubt that's the first account of it being used, but its my first account.
I love Aussie slang.
In Melbourne in the old days it was " lay us a patch". Good times.