1099s and 1098s have different purposes. 1099s also report to the IRS that certain payments were made to the SSN. 1098s are just information, that the school billed a certain amount and credited a certain amount, but not that any of that was income, taxable, perhaps a credit is available. Just information. Many many people get 1098s and it is of no tax consequence either way, nothing is taxable and nothing indicates a credit. Mortgage interest, refunds, etc are reported on 1098s because there is no deduction for the business issuing the 1098. Information only.
If a 1099 is issued, the IRS is looking for it to show up on a return somewhere. The business is taking a deduction, and the IRS wants to see someone paying a tax on it.