Rounded square to point? Is it possible?

I’d handle it with Rail revolve. The result is accurate and minimal. Remember to dial up the display mesh settings to improve it’s appearance.

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Yeah, there’s something wrong with yours (points do weird things) so I thought maybe you are starting with some weird something.

would you share the file please?

This is with rail revolve:
pinch

Yes, but I need to see the curves that you are starting with. If you are starting with mine, then you should get my result. Maybe problem is the matchsrf settings. Here is what I am using.