In the book 'Old-Fashioned Gardens' by Trevor Nottle, (1992, Kangaroo Press, viewable online) on page 158 is the following entry under 'Squatter's Dream':

"Squatter’s Dream (1923) A rose bred in Australia by Alister Clark and propagated from plants found growing, complete with labels still attached and legible, at Old Anlaby homestead, near Kapunda in South Australia. The bushes are spreading and covered in dense dark green foliage that is glossy and disease resistant. Masses of single yellow and old gold flowers bloom early and late on a plant that is everblooming in warm areas."

So the original bushes at Anlaby were labelled? This should put any doubts about 'Squatter's Dream' being correct to rest. What seems a little odd to me is that this book was published in 1992, yet the 1995 reference here of how Nottle came across the rose mentions no labels and that would obviously be a crucial factor in identifying the rose. I know from the Tea Rose book that the Anlaby garden was big on labels so it's very plausible that old metal labels were found marking the old bushes, but it just seems odd that this is the sole reference to labels.

Available from - Ross Roses
https://rossroses.com.au/

I'm finding this one grows much like 'Mister Lincoln': mostly upwards, fairly sparse, big pointy teeth.
Not quite as tall as Lincoln, and a bit more spreading, but a similar sort of beastie.

It is definitely not the "small, compact bush" or "dwarf" mentioned in some HMF references.
It is also definitely not a rose that has "virtually no thorns", as 2002 reference "The Garden at Forest Hall" claims.

It may do well with a fair amount of pruning for form, or in a group, or with other shrubs around it for visual support, but looks a bit odd sitting out by itself. I still find it appealing though.

Nice foliage, elegant buds, and delightful flowers. Easy to deadhead, as the outer ends of the plant are near enough to thornless. It's only the canes themselves that bite.

Update: Had to do a big clean up around the rose bed last week. This included getting right into the base to take out some old canes. I found that as long as you have room to move and take some care, Squatter's Dream is easy to work around. It does have large thorns on the older wood, but they are spaced well apart from each other and not hooked. It looks a tad scary but is actually quite friendly, as long as you are paying attention.

Updated information:

Bush is of poor and scraggly form if left to its own devices.
Would require frequent pruning for form to make a good shrub.
Holds onto foliage pretty well.
Holds onto dead flowers forever.

Currently on probation.