I faced an interest conundrum when looking an basal parasuchid ankles, and the orientation of the calcaneal tuber. Yes, it was an odd diversion, but it turns out the two issues are comparable. Why? Because the calcaneal orients along the axis of rotation, with deflection to the lateral resulting in a reduced vertical inlever during mandibular depression (opening), which relates to a more sprawling attitude and rotation of the pes in locomotion. Something similar happens in the retroarticular process of the mandible, with medial deflection this time relating to angularity across the transverse articular joint. The mroe in-line the RAP becomes to the mandible, the more transverse and perpendicular the quadrate-articular joint becomes, leading to a "clean" in-lever/rotational motion. More deflected, the more likely one or the other halves of the articular joint become dominant, and we see that in birds, pterosaurs, and most coelurosaurian theropods. Thus, it's no surprise that taxa like caenagnathoids among oviraptorosaurs have more or less in-line RAPs with the mandible, slightly inflected medially but following the mandibular shaft, which relates to a slight lateral-dominant quadrate-articular joint. The comparison might not be 1:1, but its close enough to warrant further study.
The other thing that came up when considering the comparison between RAPs and calcaneal tubers is the insertion of their corresponding muscles. In some taxa, the distal end alone receives the muscle, whereas in others the enter process does. For taxa like oviraptorids, where the distal RAP is a distinct knob with a crunkly surface ripe for insertion iof the mDM (m. depressor mandibulae), it doesn't compare well to birds in which the entire medial process bears a set of muscles on the dorsal and internal surfaces, while the ventral will also bear portions of the ventral mPt (m. pterygoideus) and some accessory muscles that correspond (roughly) to ancestral sternal-hyoid musculature now present only in other sauropsids and extant mammals (such as m. sternocleidomastoideus). These muscles interact with the RAP in birds, get displaced to the posterior process, or remain in place behind and associated with the jaw joint itself, stabilizing it or exerting rotational forces. (Some birds have more processes, and the medial process in others lacks these muscular attachments, owing to the articulation with the basicranium, in which it simply cannot function as an RAP.)
Anyways, the orientation of the RAP owes a lot to the mandibular function and forces generated by the associated musculature, and there is a strong need to consider those muscles and biomechanics to discriminate when, or if, the RAP orients itself at all. In the case of the diagrams and data suggested, the RAP in some theropods is a broad knob crossing, and forming the entire back half of the articular fossa. Here, only the acuminate corner of it is called out as an RAP. This seems like an area worth further scrutiny before developing an elegant model of medial deflection for accommodation of the external auditory meatus, which is the actual conclusion of the paper. The later argument is inline with comments from other researchers, who have variously posited that the general homology and placement of various cranial orifices doesn't vary that heavily among sauropsids, with the EAM occurring near the jaw joint, and not high up under the paroccipital processes, as is commonly reconstructed (save that it might occupy the entire "gap" between the two, which is something some people like to draw to have their cake and eat it, too). As dinosaurs likely did not have an externally-exposed tympanum, there is no reason not to move the EAM down where it should belong, and also leaving the relatively short stapes up near the paroccipital process.
In sum:
There are mechanical reasons for the deflection of the RAP that have little to do with the EAM position, given the absence of detailed embryological data [presented] on the development of the RAP in non-avian theropods (or any dinosaur), whereas other constraints and permissions to the RAP orientation equating to the medial process in birds have their own special issues, and also do not relate to the position of the EAM. In the narrower consideration of gradual medial deflection over Coelurosauria, it's probably safe to say, "it varies."