Cruising the net for interesting tidbits of GPX info led me to the website of Tony Foale (
https://motochassis.com/ ). That is a name which older riders with a technical bent will remember.
In one of Mr Foale's articles (
https://motochassis.com/Articles/Frame.mod/KawaMods.htm ), he describes stiffening a GPX750 frame, also describing the original as "super bendy". Mr Foale is no fool so that article caught my eye.
Here is a visual excerpt:

That is all well and good, but a frame needs to contain an engine and other parts.
When I look at a pic of a Jap GPX with the radiator off and the headers nearly off:

- Nice and clean!
- GPMF3001.jpg (112.49 KiB) Viewed 9071 times
I have to wonder how it will all go into the stiffened frame. It probably won't.
Kawasaki designers are no fools either. They did what they could with the goals and budget they had.
I'm sure Mr Foale did an excellent job stiffening the frame. It's just that a
motorcycle is more than a bare frame.
Even if the engine fit in, the stock airbox would not, and I suspect that you would have to be on very good terms with an experienced tube-bender and welder to get headers to fit.
Don't let this put you off reading Mr Foales's articles, he has plenty of interesting things to say. You don't have to agree with everything but if it makes you think a bit more about the design and operation of that collection of parts you trust your life to, that can't be a bad thing.