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A little research from the bookie:-
1998 - The first Rugby test at Subi in the tri-nations.
Springboks come direct to Perth for the first game of the series. On a wet and windy night they win by 14-13. Could have been anyones game from memory.
2001 - The Springboks lobbed into Perth after 2 home games at home in South Africa.
Australia arrived in Perth after games at Loftus in SA and the following week in Dunedin in NZ
Draw 14-14
2004
Springboks had been to NZ then back to Perth.
Wallabies has been to NZ the week before.
Aus 30 SA 26
2005
South Africa 2 home games then came to Perth.
Australia had been to South Africa then to Sydney and week later in Perth
SA 22 - Aus 19
As for when South African teams play on their way home the tend to get an awful fright or get beaten (except for the Stormers 2008)
I rest my case.