In the funeral trade they're known as Direct Cremations and Cremations with burial. What has been hurting the morticians has been the move away from traditional funerals with burial--which can involve expensive caskets--to direct cremations in a cardboard container--which costs about $50. Direct cremations also dispense with embalming and prepation of the corpse. A direct cremation, even in California, only costs about $1,500, not $4,000-$6,000, as implied by the article.
Many families who had settled on direct cremation are starting to consider the benefits of the traditional memorial service, which involves viewing and visitation for a couple days or so. It is therapeutic, and is a fitting memorial to the deceased. But traditional memorial services need not involve burial--which in expensive areas of the country can cost as much or more than preparation of the corpse and casketing. That is, a family can cut almost half of the typical cost of a traditional funeral by having the corpse cremated after the memorial service. This is particularly true in those states which allow families to "rent" caskets.
This would seem to me a happy medium between the dignity (but cost) of the traditional funeral with burial plot and the economy of the direct cremation. The statistics may imply a worse fate for funeral homes than is actually the case.