That is a pretty good match! Only obvious difference to me is that the animals on either side are less upright. But it's a satisfactory match. Glad I found the official South Australian seal of 1934.
Now let's see if we can do anything with the Kenyan seal, even though it is terribly indistinct on the doc.
Could you attempt to compare this seal and see how it looks against the seal on the doc? Obviously the big problem of overlaying an oval on a circle, but can anyone see any similarity? I understand that they may have had a completely different seal than the one I'm putting up but at least it's something to try.
Honestly, I can't make much of the "Kenyan seal." There's just not enough detail. It might be the seal you posted. It might be the back of a Sacajawea dollar coin. It might be something else. I just can't tell.
In fact, the more I look at it, the more plausible it seems it was done with a coin.
If we assume the paper width at 8.5 inches (American!) then I measure the circle at around 28 mm. This is a bit bigger than a Sacajawea dollar, and smaller than a Kennedy half dollar.
If you've visited overseas, you may realize that other countries have different paper sizes. Australia apparently has the same size as Europe.
Assuming that paper size, I get a slightly smaller circle of approximately 27 mm. This is almost exactly the size of a Sacajawea dollar.