Other than Metallica, this is not an impressive list...Not a great point by the author.
My point would be that they are an FM Rock Station standard group and will always have quite a few songs in any Classic Rock countdown...
Lemme see if I can add to the list of bands they have influenced...TOOL,Megadeth,Coheed and Cambria,Porcupine Tree,Dream Theater,Living Color,Skid Row,Audioslave,The Mars Volta,Pixies,Mr.Big,Pantera,Slayer,Dillenger Escape Plan,Tim McGraw(yes that one),Van Halen,Sammy Hagar,The Tea Party,Our Lady Peace,Candlebox,Fates Warning,Nine Inch Nails,Foo Fighters,Nirvana,Winger,Steve Vai,Zebra,Extreme,Simple Plan,Vertical Horizon,Lamb of God,Slipknot,U2,Tran Siberian Orchestra,Triumph,SAGA and the list goes on and on and on and on.
Hell, the SEARCHERS invented folk rock, inspired [were ripped off by]everybody from the Byrds down through Tom Petty and the Heartbreakers [ some of whom are in the Hall], and nobody will consider them for admission. So don't feel like the Lone Ranger.