Am I the only one who's getting annoyed by this in the band's music? It just seems lazy and makes me feel like they don't put as much thought in the music of the song.

Just since 2000, here's the songs that Bon Jovi have used this same progression in. And this is just songs that directly use this progression; the list would get longer if songs that have a slight variation were added in.

It's My Life
Say It Isn't So
Two Story Town
Mystery Train
Save the World
Undivided
Misunderstood
Have a Nice Day
Welcome to Wherever You Are
Bells of Freedom
Complicated
(You Want to) Make a Memory
Summertime
Work for the Working Man
Thorn in My Side
What Do You Got?
No Apologies
This is Love, This is Life
I'm With You
Amen
What's Left of Me
Beautiful World

I'm certain I've missed a few, namely some of Bounce, Lost Highway, and What About Now.

Yeah, I know that Bon Jovi are far from being the only artist who uses and abuses this. And yeah, I also know there's a handful of examples of them using it before 2000, too. But I don't think it's a coincidence that they're trying to make that big hit since 2000, and they're using this pop cliche.