I never claimed it was. I will quote wikipedia: "The term 1080i assumes a widescreen aspect ratio of 16:9, implying a frame size of 1920×1080 pixels. Each frame of 1080i video consists of two fields of 1920×540 pixels each."
You said:
So what you are meaning are 60 fps interlaced and progressive video files?
Using "60 fps" to describe both interlaced and progressive content is either odd or wrong since fps would either have to mean "fields per second", which would be an unusual way to describe progressive content, or "frames per second", which would be incorrect for the interlaced content.
I'm sure anyone else reading this is fascinated by this semantics debate.