A Microsoft online analytical data engine used in decision support and business analytics, providing the analytical data for business reports and client applications such as Power BI, Excel, Reporting Services reports, and other data visualization tools.
their partitions will exist in an unprocessed state and they will have to be fully processed on their next scheduled run.
Have you read the sentence?
If you run a ProcessFull on a dimension, then you have to process all related measure group partitions as well and that will take also time.
If you run a ProcessUpdate the "measure group partition data" stays alive and will only be a bit updated.