The measures dimension
The choice between a tuple and a single value for the cell data reflects the desire to imitate a certain relational table design more or less closely. For this purpose, one introduces a distinguished dimension called Measures. The members of the Measures dimension serve the same purpose as columns in a table: they define data types.
The analogy however breaks here since there are no rows.
A more general “multidimensional” approach is to define the data type on a per cell basis.
Also, as a unifying approach one may suggest to wrap the cell contents into one “object”.