Can you combine User Experience Elements (JJG) with Design Thinking?

I'm currently starting on a project with a colleague who has a very different approach (compared to what I'm used to). I tend to work with the "Element of User Experience" by Jesse James Garett. Meaning I work with:

Strategy -> Scope -> Structure -> Skeleton -> Surface

Now, my colleague tends to work with Design Thinking, so he works with:

Empathize -> Define -> Ideate -> Prototype -> Test -> Implement

(I know that Design Thinking loops a bit more, but that's the gist of the process).

So we took a moment to sit together and see how we can best work together and see where our methods overlap or are very similar. So we came with a bit of the following writeup:

I was mostly wondering if this would be a viable approach. Or is this something that shouldn't be done together in the first place?