That depends on how you define innovation. The Gibson SG has remained unchanged since literally the 1960s. They're the same color and wood since then. They've changed the hardware a little but it still looks the same.
Fender on the other hand has kept things exciting. Their color palette knows no boundaries. They're constantly changing various features of their line. Don't have the money for an American made guitar? Fine. There are 3 other options to choose from. MIM, MIJ, and Squier.
There is no comparison between Fender and Gibson.
When I was looking for a new bass I really, really, wanted to get a Gibson. Gibson had nothing in my price range. Every once in a while they'll drop a sub $1,000 bass into their lineup, but they had nothing at the time. Epiphone did have a couple of EB0 type basses, but nothing of any kind of real quality.
Fender on the other hand had a plethora of basses to choose from. Colors aplenty. Roadworn. Lightweight. Active/passive. Body shapes. Various hardwares. They have a lot to choose from. That's Innovation.