I've been in the industry for over 20 years. I even worked on SQL Server Analysis Services for 5 years (up to 256-dimensional 'cubes' in the early 2000s)... and I never thought of joins in this way. Granted, MDX was a beast in its own right.
Cue discussion about self-taught vs college educations. I've got advantages being self-driven learner... but I've definitely missed out in some regards.
The best short description I can give about MDX is that it's the language your pedantic uncle would come up with after falling in love with Ralph Kimball, when all he knew to base it on was SQL.
But the core operations in MDX operate upon hierarchical dimensions and facts that can be aggregated.
SELECT ... FROM ... WHERE
Funny enough, the successor to SSAS Multidimensional is SSAS Tabular, where the query language is DAX. DAX was designed with an explicit goal of looking like Excel's formula language, but it is in fact a relational language which is semantically very similar to SQL, despite looking nothing like it.