The context of the grandparent's quote is an answer to this question in the FAQ:
Even if it's legal to hire international students, won't it cost a lot of money and involve a lot of paperwork?
The document, and this question in particular, is clearly designed to be informative and tackle a specific bias that exists in the hiring process.
However, the wording is *may* not *will*, which makes it less informative, and instead of eliminating bias, it actually creates a bias in favor of hiring international students for reasons other than who is the best candidate. Who benefits from that? Candidates hired for the wrong reasons, or employers who hired employees for the wrong reasons?
The preceding statements in the answer were sufficient on their own:
No. The only cost to the employer hiring international students is the time and effort to interview and select the best candidate for the job. The international student office handles the paperwork involved in securing the work authorization for F-1 and J-1 students.