Actually, a patent was issued in England in 1807, but other patents were issued in France, and other European countries. None were successful as a marketable item because of the invention and wide dissemination of stick matches, as you indicate, at the same time.
Anyone trying to patent a fire piston today is simply throwing good money away. Since the invention of the internal combustion engine, there is NOTHING new about creating heat through compression. And, once an idea is patented, it is not going to get a another patent.
For Instance, Sam Colt's patent on his revolver( actually the mechanism he came up to rotate and LOCK the cylinder for firing) expired in 1857, which so happens to be the year that Smith and Wesson brought out its first Cartridge revolver. Now, pinfire revolvers were around much earlier, So I doubt that S&W could claim a " new idea " to patent cartridges, or a cylinder that is loaded from the rear. Instead, they spent their money marketing their gun- a .22 short 5-shot " gallery " gun, followed by larger guns in .32, 38, and 44 caliber cartridges when the Civil War broke out in 1961. The guns were a hit from the beginning because of their solid frame construction, and the ease of carrying ammo. ( The original ammo was made with copper casings. This changed when it was found that the copper casings would seize up in the chambers as the copper expanded with heat, and the presense of dirt would make it difficult to clear the chambers even with the cylinder pin, which was use as the extractor. In the mid 1860s, ammo makers perfected the production equipment to make casings out of brass, both rimfire, and centerfire.)