What you call ogive is a truncated cone, which is the older shape of the two.
9 mm Parabellum was created in a time when it became obvious that the smaller caliber 7.63 Mauser and 7.65 Parabellum were very good at penetration, but lacked wounding power.
So 7.65 Parabellum in 1902 was opened up to the maximum the case shape allowed, which would have been called 8.8 mm Parabellum, if it had been named by the usual rules (caliber, aka field diameter). But to make it look larger, it was called 9 mm Parabellum. In the same vein, in an attempt to improve its wounding power, a truncated cone bullet was adopted by the German military (Navy 1904, Army 1908).
In the Dum Dum atmosphere of WW1, this led to accusations regarding the bullet shape and the German military around 1915 decided to replace the truncated cone by a round nose bullet. As a matter of fact, this round nosed head shape, described by two circular meridians, is an “ogive”.
Most early 20th century cartridges like 9 mm Steyr, 9 mm Mauser, 9 mm Largo, 9 mm Glisenti followed the path of naming a 8.8 mm caliber cartridge “9 mm”. The only real 9 mm that I know of is the Soviet 9 mm pistol cartridge,which we in the West call 9 mm Makarov (bullet diameter 9.2 mm, caliber 9 mm).
P.S. Germany was not alone in making bullets appear larger than they were. Just look at the real bullet diameter of a .38 ACP, .38 Special or similar cartridge.