-DWM Parabellum pistol - toggle lock delayed blowback, first developed by Hiram Maxim
Sorry, but you got several points wrong here.
Maxim did develop the toggle lock system, and used it in his machine gun design. (and his toggle hinged down)
Hugo Borchardt turned the toggle over and used it in his pistol.
Georg Luger took Borchardt's toggle lock pistol, kept the toggle and redesigned about everything else and THAT pistol became known as the Pistole Parabellum (and called the Luger in the US)
The toggle lock is NOT a delayed blowback system. It is a locked breech recoil operated system just as the Browning tilt barrel lockup is. It is mechanically different but functionally the same, barrel and "bolt" (breechface) are locked together until recoil has moved them back a certain distance, at which point, they unlock and the barrel stops while the bolt continues rearward operating the action.
Fixed barrel guns tend to be more accurate than tilt barrel guns. Primarily where the barrel does not move, in relation to the sights. Fixed barrel blowback pistols where the sights are on the slide not the barrel are often not as accurate as guns where one, or both sights are "fixed" with the barrel, and if they move move in parallel with the barrel, in one plane, not two the way tilt barrels do.
There are guns with barrels that move during recoil, that do not tilt. The Luger is one. The original Auto Mag is another.
There are .22s where the sights do not move in relation to the barrel, and ones where the rear sight moves, but in the same plane as the barrel.
The Browning tilt barrel (and its variants) dominate the service pistol class, because they are reliable, cheap, simple and reliably handle the pressures and power of service pistol cartridges.
While the tilt barrel is common and most frequently chosen, there are several successful service pistol "families" that do not use the tilt barrel method.