Did you even see the movie? In that universe every one is infected (and yes I realize it is a comedy but isn't everything)
And in possession of uber magic technology that neuters the threat. And for when that fails (which it does) there's a highly organized, super-equipped task force at the ready to step in. Neither of which exist in The Walking Dead.
Is that clearer?
If the Walking Dead has magitech collars and a megacorporation with super soldiers available for immediate deployment at every population center, then sure, Fido would be a decent reference. But it doesn't. Nor will it ever. Especially the magic collar bullshit.