Overloading methods from DimensionalData

DimensionalData conveniently overloads a lot of its methods for "dimensional types", i.e. types that carry dimensional information, including `Type{<:Dimension}`, `Dimension`, `AbstractDimArray`, `AbstractDimStack`, etc. For continued convenience, we should identify which of these methods it makes sense to overload for `InferenceData` inputs and then add those overloads.

Review the methods that DimensionalData overloads for dimensional types, including Type{<:Dimension}, Dimension, AbstractDimArray, and AbstractDimStack, then compare them with the InferenceData API. Determine which overloads are appropriate for InferenceData and add those overloads, with completion defined by the selected dimensional operations supporting InferenceData inputs.

Written by the indexing model from the issue text.