Does it?
Who are they being irresponsible to? The staff they need to pay wages to? The banks they need to repay? The shareholders who seek a return on their investment? The landlords who they lease premises from? The suppliers who furnish their constituent products?
They are a business looking to survive in very difficult times. They are not offering these secured loans, they are affiliating their marketing to the possible availibility of these loans. It is up to the customer (and obviously the bank) to decide if these loans are right for them. The customers are adults and having (unusually) been tested, have displayed at the very least, average intelligence. As such it is up to them to make adult decisions and as such that is where the responsibility ultimately rests.
Like any business, a flying school can only sell its products to somebody with the ability to pay for them. If you don't have the money, they are happy to point you towards people who will lend it to you on whatever terms that lender stipulates. That risk then falls to the borrower, and the seller secures a sale. That is what house builders do, car dealers do, furniture retailers, department stores, travel agents, private hospitals, dentists, lawyers, private schools, and almost everybody else with an interest in your wallet.
Does that "irresponsibility begger belief"? Well perhaps it does, but it is the way of the world, and the responsibility, or lack of it, falls squarely on the buyers shoulders.
Caveat emptor!