Yes, I have fired it in this configuration and it is stable and fairly accurate ..... although, as you can well imagine, it definitely falls far short of being able to utilize the incredibly optimistic range of 500 meters afforded by the maximum setting of the rear sight! Matter of fact, I find the No. 1 configuration easier to sight with the shoulder stock affixed, since the rear notch is much finer than the notch on a No. 2 pistol, being designed for sighting with the pistol quite a bit closer to your face than if held out at arms length .....
I should confess that the stock in the above photos is one of the modern "knock-offs" (which so many people keep trying to flog as originals on Ebay and such places .....) The copies are pretty close in general appearance - even duplicating the original markings - but the main give-away is the wood they are made of is a a relatively coarse-grained "oriental hardwood" (as they say nowadays about so much inexpensive imported furniture) which prevents the cuts and shaping from being properly sharp and clean, and which is fairly light in colour so the stocks need to be stained externally, and then are noticeably lighter in tone on the inside.
Here is my reproduction stock with the butt open, to show what I mean, as compared with an original walnut stock with its butt open ....
(I ultimately stained my repro inside, which at least minimized the tell-tale colour contrast.)
Although I've never gotten around to taking any photos of my Inglis No. 1 pistol with it, I have since acquired a nice walnut original. They were made under contract for Inglis by Small Arms Ltd. at the Long Branch arsenal where our No. 4 Lee-Enfield rifles were produced. The stocks were contracted out (using metal bits fabricated by Inglis, IIRC) because the Inglis plant lacked woodworking/stock-making capability. (As I recall, S A Ltd. also made the stocks for the many Bren guns Inglis produced.)
For a wee "blast from the past" to bring this thread firmly back to its "Handgun Stock" theme, this is a wartime photograph (typically "posed") showing a Long Branch employee of the "Inglis Stock-fitting room", whose job was to make sure each finished stock properly fit and locked onto an Inglis "try-pistol" - note that it appears to be just an assembled frame and slide - no barrel, likely no trigger -