I've never been a fan of any of the magazine capacity arguments. Also, for the most part, I do not accept any civilian vs military distinction; at least not as described by Beeman.
The original Inuit et Fecit Girardoni, model 1780, was the larger caliber from original documentation and reports. This seems to have been confirmed by our one example of an original. And, yes, of course this was a military weapon. However, there is absolutely no information to support the (Beeman) contention that Girardoni ever produced any air guns for the civilian market.
The 2nd model Girandoni is based on the circa 1786 Nemetz design which is the smaller caliber. These were manufactured in England and, although I've written that they are English made copies of the Girandoni, they are more an original Austrian design that, for one reason or another, was produced in England. How this transfer of advanced Austrian airgun technology happened is not documented. My guess is that since the earliest examples of Girandoni types being produced in England (the earliest I aware of are circa 1795 Bates) comes around 1795. Just before this time, Mr. Austrian Airgun expert, FM Karl Mack, was in charge of the First Coalition war against Revolutionary France and he even made a trip to London circa 1794. My guess is that Mack transferred the technology.
This 2nd (Nemetz) model is the predominant model we see today. The exact same model was produced for Austrian military needs (the "G" guns) and for non military means. So, there really is no distinction between the military and civilian versions, other than some of the civilian guns have well known English gun makers names on them, like Staudenmeyer. Otherwise, these are all the same gun.
Note also that Austrian interest and use of the airgun did not go away until well into mid century. The airgun was still on the materials list for defensive fortress sieges in 1860. The last combat report we have of the Austrians using the Girandoni was 1809 in a defensive siege of a fortress. One of the key reasons was that the Austrians appreciated that an airgun could be used in confined and explosive environments found in fortresses: it's called the Underground War. None of this info is currently available outside of the original German texts. I've researched this and have translations which will be available when I get the book done. But, the entire Underground War aspect to the airgun is fascinating. It's the direct reason for one of the first implementations of the airgun in war circa 1750.
While I'm at it, the reason for the Austrian interest in a repeating weapon comes from fighting their traditional enemy: the Turks. The Turkish would typically attack in an unorganized mass and just rush the enemy with overwhelming numbers. In that type of fighting, rapid fire was essential. When it came time to fight the French, the rapid fire issue went away. The Austrian Army wanted nothing to do with any of these rapid fire weapons. Against the French, in the first couple of years, the airgun was only used during sieges by specialized Tyrollean Sharpshooters in the front trenches to pick off any Frenchman they could spot on the ramparts.