How Conflicted Are You In Winning or Getting a Better Draft Pick

KC did blow it up. They had a GM that went from Herm Edwards, to Todd Haley, to Romeo Crennel at head coach. In 2013 they fired the GM, Veach took the job and brought in Andy Reid. Many don't know it but Veach was the GM for the Eagles for a large stint of time that Reid was Head Coach there.

The couple of years Reid started in KC, they went through some big changes. They brought in Alex Smith as Reid searched for his franchise QB (Mahomes in 2017), they let Tony G and Charles finish their career because they are Chiefs legends, but mostly everyone else was replaced over two years.

EDIT : Thinking on it, I believe Poe and Houston were also kept around.

Replacing a bunch of players over two years is not the same a blowing it up in my mind. You often have change like that any time you hire a new coach.

Blowing it up to me is trading away all your good players for picks and putting together a team you know is likely to lose so that you get good draft picks in the next draft or two. KC never did that. They remained mediocre until they found their franchise QB and even had their franchise QB sit behind medicore Alex Smith while he developed. Once you have that franchise QB you can quickly build a team around him if you are starting with a mediocre roster rather than a blown up roster.