You are right, they have a strong coaching staff there. It might actually be their ace there and if the players could implement the plays correctly then I bet the Lakers will be difficult to defeat.
Let's not forget they still have AD and Lebron. That duo is not something to underestimate and it's not like Lebron is slowing down that much. The predictions probably added some injury problem which is why they went that far and considered the history of AD's injury. But what if he plays healthy the whole season? It will change the results a lot.
I think the Twolves will be on top of the West this season. I understand their top 4 using the last season's records but it could change drastically if injuries happen.
Maybe ESPN just disappointed with past draft result and Lakers didn't get good piece via trades that's why maybe they release that statement. But they should not forget that even thought they didn't get much asset on free agency still they have talented roster. Its just they need to bounce back well and find good strategy to make everything work together.
Also AD need to be healthy in upcoming season so that it cannot affect their playoffs run or maybe to reach again on finals which they really want to happen.
There will be a tough competition in the West, and the teams you'lve mentioned, one of them have a very good chance of finishing at the number 1 spot.