I wish to see more research on stuff like this. I believe I've seen similar studies showing different learning styles were more effective depending on the topic, not the person.

In my experience, a lot of learning is a back and forth between rote memorization (like vocabulary) and building concepts/associations. Rote memorization can also be a lookup table to focus on higher-level concepts--like memorizing your times tables. Spaced repetition (like Anki) focuses on rote memorization. Lectures and note taking, like this, are a mix focusing on concept building while homework is both generally focusing more on rote memorization.

But there is some difference person-to-person. For example, many people I know work through things by talking out loud. I struggle with this and feel like I have to ruminate on my own to flesh out ideas.

"We all learn the same" is not the correct conclusion to draw from this report. The only thing this report claims is that all existing studies about differing learning styles are flawed and therefore not reliable.

The actual conclusion, straight from the source you linked:

"But psychological research has not found that people learn differently, at least not in the ways learning-styles proponents claim."

That's not what your link says. The link says no one is a pure visual or auditory learner.