Brown Katydid or Spider Cricket?

I drafted this post as "Unknown Brown Grasshopper-like thing".
That very unscientific draft title tells it all, really.

I found this insect last week, and after a bit of a close-up look, I realised I had no idea what class/family it is from.

Extra long antennae.
Wings are held closely together, at a very high angle.
The insect flew quite readily, from a broom handle to the plant.
So, despite the odd angle, the wings were perfectly functional.

You see, any self-respecting Grasshopper, (and their cousins the Crickets) have great big mandibles for chewing stuff. Grasshoppers are primarily vegetarian, but some of our local Crickets are famously carnivorous (but that is another story). (DJW note: See my comment below) My creature has eyes on the side of its head, which is not well placed if it is a predatory insect.
Anyway, this insect has a very soft throat and gentle mandibles. Not anything like a decent Grasshopper or Cricket at all. But what is it?

Underneath view of throat and mandible.
Eye visible above.

I have searched the most obvious internet sources of information on Grasshoppers and Crickets. Few of the Grasshoppers or related Katydids have such long antennae as my specimen. I know many Crickets have long antennae, but usually large forward-facing eyes and heavy jaws.

But then there is in Western Australia a creature called a "Spider Cricket", (Oecanthus adyeri) which looks reasonably close to my creature, except for the angle at which it holds its wings.

Wings held together, centrally,
higher than the angle of the legs.

head held flat, eyes and antennae.
In this image, the head is held at a steep angle.
An over-head shot of the eyes and the base of the antennae.
This insect was perfectly comfortable walking down a stick
- which is what it is doing here.
Here is a low or side view of the insect.
Finally, here are the wings visible
and the back of the thorax and abdomen.
the legs are also clearly visible.
If anyone can help, it would be greatly appreciated.

*****

Well, if anyone in Australia could help, it would have to be Dave Rentz, our fellow Nature Blogger - of BunyipCo
Dave came through with the following information:
.
Hi Denis
"That’s easy. It a female of the pollen and nectar feeding katydid Zaprochilus australis (Brullé). A nice find. The "Balsam Beasts" of Densey Clyne fame are close relatives. There is a rare one down your way. Z. ninae is known only from Jervis Bay and South Durras."
.
Since Dave gave me the name of my insect, I did a Google Image search, and found that Dave had previously written a Blog post on the Pollen and Nectar Feeding Katydids, complete with a few illustrations, including a male of this species.

He describes the unusual angled wings: "The long-winged species have the wings held at a distinctive angle with the body. In addition, the outer wings (tegmina) seem to be rolled or cylindrical. This and the mottled greyish colour serves in twig mimicry."
.
He also has some fascinating history of this species, which I noticed had the name of a French scientist Brullé as the person who first "described" (named) the species: " Zaprochilus australis (Brullé) is one of the earliest described species of Australian Orthoptera. The first specimen was collected on an expedition authorised by Napoleon Bonaparte." Read more of this interesting history, and other fascinating details of these insects on Dave's Blog..
Dave Rentz is the principle author of "A monograph of the Tettigoniidae of Australia: The Tettigoniinae" - volume 1 and volume 2 (reviewed at this link). on Tettigoniidae. He is described by that reviewer as "The World's foremost authority on Tettigoniidae (Orthoptera)"

More information is found in my "comment" below, where I quote from Dave's email response to me.