Trying to install a 300 amp ATS SR but whats up with the 4/0 lugs? I'm no rookie and usually use Generac switches but they were out of stock.

So we bought an eaton/cuttler. I can not figure how these lugs are viable. Every lug on this switch is rated 4/0. The switch even says 300A. How are people using this with 300a services?

45KW generator even has double lugs rated 500 kcmil or double 4/0.