Yes, you are understanding it correctly. The idea is that you give the "requesters" access to the data, then enable them to do their thing with it (with training / support / shadowing) and publish their results as "data-products" so that others can leverage it too in their own "data products".

The "data mesh" is essentially the collection of these independent "data-products".

We already see management problems with self-service analytics like PowerBI, Tableau & Looker. Its too easy for people to create dashboards / reports that are subtly wrong and which cause confusion. There is a balance between empowering to build data products and centralised control. Too much empowerment of people who don't understand the right way to do something leads to a horrible mess of contradictory data. Not enough, and people can't effectively do their job. Governance and process is the key to finding the balance and enforcing it.

The issue with the data-mesh is that there isn't really any great tooling to support the management or development of data products, or a data-mesh generally. I am sure this will change over time as vendors start building hype around it.