Depending on the structure of the membrane you are talking about, basolateral might be referring to parts of the cell with the same function (transferring stuff across a membrane, which is what the kidney does a lot of). If that were the case the lateral membranes would provide an increase in surface area through which transfers could occur. If so, this would be a functional issue influencing the name used.
In general, there is a cytological distinction in many animal cells between the apical and basal sides of the cell. All epithelial cells have this distinction.