It tells you the Madsen system and the Reising both failed the test of use and that Browning systems, along with the Holek brothers, Leonard Vincent, Louis Stange, Stoner, Sam Colt, Henrie Mercie, and Kalishnokov are system inventors whose work has withstood the crucible of war for decades.
I could toss Mauser in, but there are not many cyclics that use that operator system anymore. Oh, I forgot Odkalek, and the nutjob, Williams.
The Madsen system was hardly a failure, it was in production for nearly 50 years and it was not noted as unreliable in use. It was in use for nearly 100 years. I don't think it can be counted as a failed weapon.