Hi, international applicant here.
I don't think domestic and international applicants differ too much in terms of their motivations. We all choose and apply to schools that we deem is best for our development and, perhaps more importantly, would lead us to good jobs in the future. That being said, what land you a good job can be different in the domestic and international market. For example, a strange phenomenon that I have witnessed in the East Asian market (could be just my perception, potentially anecdotal): a job applicant from a lower ranked American program might be more appealing to the hiring committee than one from a higher ranked program in East Asia. In a hypothetical scenario, I could imagine, all things equal, a USC graduate (great program btw) could compete on a same level with a graduate from the top 3 schools in the region (which rank 10th - 30th internationally, higher than USC).
In short, there seems to be a predilection for graduates from American universities in other parts of the world, in terms of hiring. Therefore, I would say some international applicants might be more willing to go for R2 or even R3 schools because they believe they are still highly employable back home.
Just my two cents. Disclaimer: still a student and it could very well be the case that I don't know what I am talking about.