It's not a competition...please, no wagering.
Knopfler comes from, seemingly, a more country/jazz...um...Chet Atkins influenced finger-style, whereas Lindsey's Travis picking style is more of a Appalachian bluegrass roots thing. Apples & Oranges.
Let's really mix it up and toss in a third option of a WELL-KNOWN guitar player who doesn't use a pick and has a unique style of playing with his fingers that comes from neither of the same roots as Buckingham or Knopfler...but from rockabilly...his idols were Cliff...uh..um...oh, crap, can't think of his last name right now...but he was Gene Vincent's guitar player...oh, yeah, Cliff Gallup, Eddie Cochrane, & Duane Eddy; and despite being influenced by those late '50's rockabilly guys, went on to take psychedelic blues-rock, jazz/rock fusion, and techno jazz/rock to new heights...was most well known for being Eric Clapton's replacement in the Yardbirds...the one...the only...
...JEFF BECK.