I have a similar issue as this individual

Any way to allow users to add a Refresh?

I want to allow certain users to be able to select a data source and click 'add full refresh', as it stands now the option is grayed out for everyone and only admins have the option of running refreshes on other people's data sources. I tried giving these people data source editor permissions on a data source I uploaded, but it didn't help. Is it really not possible to give other people the power to refresh specific data sources or is it a Tableau Server Admin setting that someone may have hardset that only the people who created the data source can refresh it?

I have an attached an image of the same data source what it looks like to me vs. someone else who I have given Data Source Editor permissions.