Where I live and work, there is a widely-accepted and often-repeated claim that there are two kinds of students: "algebra people" and "geometry people". This claim sometimes gets expressed in different ways; sometimes it is articulated as a difference in ability ("The students who are good at algebra tend not to be good at geometry and vice versa") and other times as a difference in interest ("The students who like algebra tend not to like geometry and vice versa"). This belief is often conflated with claims about some students being "visual learners" (despite the fact that so-called "learning styles" do not exist).
On its surface, this belief seems to me to be almost certainly a myth -- at least when expressed in terms of ability. But it also seems like it could be empirically tested. If people who are good at algebra were bad at geometry and vice versa, that would surely show up through an analysis of the grades they get in school, or how students perform on standardized tests that include both kinds of content.
As far as interest goes, the claim has slightly more surface plausibility. I know plenty of adults who will testify that the only math class they ever enjoyed was Geometry, and others who will say with equal conviction that Geometry was the only math class they hated. But a few anecdotes is hardly compelling evidence. This, too, seems like it could be easily studied empirically with some kind of attitudinal survey.
So the question:
Have there been such studies? Is there any evidence for or against the claim that people tend to be either "geometry people" or "algebra people"?