So basically equation helps you to make your measurement more accurate. (on some scales) what happens underneath is known but can't be accurately measured because it interferes with physical process. (wich comes to no suprise because the measurmenst are done from whitin the universe while it's "running", and that is why your measurment will have effect on future state of universe, )

Seems like Penrose is claiming that different interpretations of this measurement interference are not necessary. thats what i get from article. at least.