Let's combine Caro-Kann with KID, we get Slav Indian !
I like the Slav-Indian with a Tasty Twist: I present the Kudischewitsch Gambit
Wow, it looks cool!
Yes!
Caro-Kann is a defence against 1 e4 and King's Indian Defence is a defence against 1 d4. 1 e4 is sharper than 1 d4, so yes a defence against 1 e4 is more compelling than a defence against 1 d4. So it makes sense to look at Caro-Kann first.
Caro-Kann is a good defence for those who like solid, positional defence. It is playable by all. King's Indian Defence is very complicated with theoretical lines that run 20 moves deep and little room for error: one suboptimal move may cause a loss. So it makes sense to look at Caro-Kann first.
Should you learn the Caro Kann before King's Indian?