Llunwen It was all on Ancest, maybe there are more records now. There are unassisted passenger lists to Western Australia - the region where Kalgoorlie is in. Look under immigration and travel section.
There are Australian National Archive sites that also give the information, free digital images for some regions, although I don't think Western Australia does. The Western Aus site has descriptions of documents that are gold mining related, so could be useful to get a general idea of things but access to original docs is in person of digital copies for a fee. I searched for Kalgoorlie (that's the correct spelling).
https://archive.sro.wa.gov.au/index.php/informationobject/browse?showAdvanced=1&sq0=Kalgoorlie&topLod=0&rangeType=inclusiveThere are also some free images on LDS site of ships from South Africa, though some link to FindMyPast, but there was no obvious sign of him on any I looked at from SA
There was another record 1912 of a Mr H Griffiths unaccompanied by any wife etc, but sailing from on the Ascania that left Liverpool 23 Sep 1912 via Cape Town, bound for Victoria. He was contracted to land at Melbourne. No other details given, but this is some way and further from Freemanle, so don't think it's him.
I take it he never married.