Well, looking up the actual numbers... the ESPN article has it wrong, or at least worded it deceptively, for two reasons:
(1) 118 of Kelly's 219 head coaching wins were at Division II Grand Valley State.
(2) Saban's teams have actually won 223 games, in 22 seasons as a head coach, but his first 5 wins at Alabama were vacated by the NCAA.
So, Saban has the most FBS wins among active coaches, whether or not you buy into the vacated wins stuff.
All 210 of Snyder's wins have been in I-A/FBS and at Kansas State, in 26 seasons.
Reaching 200 wins in I-A/FBS takes a long time, obviously. Gary Patterson has 160 in 17 seasons, Chris Petersen has 129 in 12 seasons.
The real list for active head coaches, counting only I-A/FBS head coaching wins and ignoring NCAA vacating, is
Saban -- 223
Snyder -- 210
Meyer -- 177
Richt -- 164
Patterson -- 160
Solich -- 155
Source:
https://www.sports-reference.com/cfb/lea...areer.html