As said in comment, one reason not to allow preprint publication alongside journal publication is to preserve the incentives to subscribe. To add a note to this point, let me remark that most of the preprint-friendly publishers (this adjective includes Elsevier and Springer: they don't do everything wrong) do not allow the final journal-template version of the paper to be deposited in an open repository. In other words, most publishers do forbid open distribution of published papers in some way, they draw the line at different points. Of course, drawing the line after or before the preprint version of the article makes the most important difference.
Another reason in some field, alluded to in the question, is a way to understand the pretty general policy that journals' goal is to publish novel publications. In all fields, this notably means that you are not allowed to submit to a journal a paper that has already been published. In some fields, notably humanities fields (at least in France) this extends to journal refusing to publish articles already available as preprint. As far as understand, preprints are then really seen as publications, in the sense that they are no more novel. Of course, they are not considered as publications in the same way than journal articles in CVs...
Concerning the weight of these reason, it feels to me like tradition has a lot to do with it. Some tradition are easier to sustain in some fields than others; e.g. Chemistry can ask both reader-side for subscription charges and author-side for pages or color figure charges, as the field has some money notably due to its experimental nature; such tradition would be more difficult to sustain in humanities where money is much scarcer. As another example, it might be that the strong weight of book publishing in humanities is related to this "preprint is prior publication" point of view: it is more common for publisher not to allow books to be made available, and a field where books bear at least as much importance as article for idea dissemination seems more likely to adopt the same policy for articles.