it doesn't have physical access to reality

Which is a severe limitation, isn't it? First of all it can't do 99% of what I can do. But I'd also attribute things like being handy to intelligence. And it can't be handy, since it has no hands. Same for sports/athletics, driving a race car which is at least a learned skill. And it has no sense if time passing. Or which hand movements are part of a process that it has read about. (Operating a coffe machine.) So I'd argue it's some kind of "book-smart" but not smart in the same way someone is, who actually experienced something.

It's a bit philosophical. But I'm not sure about distinguishing intelligence and being skillful. If it's enough to have theoretical knowledge, without the ability to apply it... Wouldn't an encyclopedia or Wikipedia also be superintelligent? I mean they sure store a lot of knowledge, they just can't do anything with it, since they're a book or website...
So I'd say intelligence has something to do with applying things, which ChatGPT can't in a lot of ways.

Ultimately I think this all goes together. But I think it's currently debated whether you need a body to become intelligent or sentient or anything. I just think intelligence isn't a very useful concept if you don't need to be able to apply it to tasks. But I'm sure we'll get to see the merge of robotics and AI in the next years/decades. And that'll make this intelligence less narrow.