How would you phrase this though? Plenty of PE firms have the funds to buy your local veterinary clinic or auto body shop with cash; the leverage comes later, when they direct the business that they own to get a loan. How can you make it illegal for the business to get a loan?
The daughter company would presumable be allowed to purchase goods and services. What prevents those goods and services from being supplied (at a hefty markup) by another company under PE control?