So Katanas aren't BAD, but did their unique construction limit Japanese swords to "types of Katana" ?

So when I look at Europe and see the swords they made, I see everything from two sided Roman Spathas to messers with knife handles from as fast as possible rapiers, foils, and coilmarches to big honking claymores (the two handed ones), basket hilt claymores (the..not two handed ones) and flamberge greatswords.

When I look at japan I see.. katana. Big katana. Small katana Really big katana. really small katana. Naginata is katana on a stick...

I get that japan is smaller than Europe and maybe more isolated than England with an occasional long period without active military innovation....

But I can't help but wonder if they way they made katanas, with the differential hardness and differing metals bending the blade sort of limited Japanese smiths to one working shape? Or is there a history of sword variety in japan I'm not seeing?