Not true. It is correct no WBB turns a profit, however, in the SEC the cost of nonrevenue sports is paid entirely from the AD budgets. That is why FB is so important to power 5 schools, it has gotten them into conferences where they generate the revenue needed to cover their budgets for athletics. Now if a school in a power 5 conference chooses to spend more than they make that's on them.
SEC schools do not go to their State legislatures with hat in hand asking the taxpayers to subsidize their sport programs. They do sometimes have State University municipal bonds issued for large projects like stadiums, arenas etc., but that is not a subsidy, it is a debt incurred which the AD must pay back with interest from their AD revenues.
Schools not in large high revenue conferences don't have the luxury of athletic departments that pay their own way. I can understand you not being aware of this. In the SEC and B1G for example, member schools total expenditures are almost always right at or within 1% of total revenue taken it. Its called a budget and most know how to follow one. Some schools like UCONN, only take in around half the revenue of what they spend. I believe UCONN in 2019 (not using 2020 covid #'s) took in about 46% of their expenses, leaving the state and students to foot the rest of the bill. That is not sustainable.
How SEC athletic departments ranked in total revenue for 2018-19 fiscal year (savannahnow.com)