The article is interesting and takes us nicely through the distinctions that seem relevant to the author. However, the critique of substantial forms itself stems from confusion about the distinctions involved.
The main thrust of the critique is stated up front.
Benjamin Hill wrote:
The most obvious and natural way for Aristotelians to respond to these [counter-]arguments is by increasingly physicalizing substantial forms. But then the physicalized notion of form are no longer able to function as formal causes. Thus there is no basis for retaining such entities in one’s ontology.
In the critique, the author indeed takes us through the "physicalizing", but I don't see how such physicalizing is necessary. For example,
Benjamin Hill wrote:
Heap and continuum unity are characterized by in principle physical divisibility. A part of a heap may be removed from any other part. Ditto for a continuum, even if that division could only be performed by God’s omnipotence.
As far as I know, the point of continuum unity (contrasted with atomistic heap unity) is precisely that physical divisibility is not possible. Space is the paradigmatic example example of continuum unity, both logically and physically indivisible. Space is a good analogy to understand the nature of form-matter relationship, where the primary difference between the analogy and that which is denoted by the analogy is that that which is denoted by the analogy is non-physical. There's no reason I see why the person who holds to substantial forms should physicalize the form-matter relationship.