How can I judge whether a university will give me enough international exposure without making it the main reason I choose it?

Treat international exposure as a comparison criterion, not as the primary reason to choose a university. First define the experience you want—such as exchange study, English-taught courses, short overseas programs, or classes and activities with international students. Then check the intended faculty or program, rather than relying only on university-wide information, for who can use each opportunity, selection procedures, costs, timing, and how realistic participation is. Verify current official information, use events or current students as supplementary sources, and weigh it against academic fit, finances, commuting, and future plans.