1) Rickets/osteomalacia (hypovitaminosis D) notably have increased osteoid. Increased osteoid is synonymous with decreased mineralization.
2) This article I found makes a point that in osteoporosis, although most bone multicellular units (BMUs) are non-cortical, which causes the trabeculae to hollow out saliently, most bone overall is in fact cortical. Article as quoted: "70% of all bone loss is cortical because 80% of the skeleton is cortical; 30% of the bone loss arises from the 20% of the skeleton that is trabecular."
This article seems to suggest that in hyperPTH, cortical loss is in fact classic but that other areas may be involved:
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3631282/