Fantastic! Indeed some of these would deserve to be printed and hanged in some industrial based interior designs!

Once you have the desired profile shape you can use follow me. An then intersect geometry to subtract the star shape. But I believe your method is better when working with the cnc. Mill the star afterwards.

Love them all! The kind of models I started to like! CLEAN !!

Great attention to detail! Glad you pulled this off!

I would like to take a look at the model, do you think you could be sharing it in a private message or here?
I wonder if it could be improved or made lighter!

Cheers!

Also for the never saved files on Windows you can find them in:
C:\Users\USER\AppData\Local\SketchUp\SketchUp 2021\SketchUp\working\SKETCHUP\RecoveredFiles

You should try welding the lines with a plugin before exporting: Tig welding, Curvizard and/or whatever you find in the plugin store for welding edges.

Hi ! Welcome !

...

Too many loaded plugins? Try to unload some with the SCF pluginstore toolbar.

I think I found out why the surface is faceted. Are these edges smoothed or hidden?

It looks like you hid those edges which you shouldn't. You should always smooth if you want a smooth surface.
I assume you use the Eraser to hide them. Instead of holding Shift, hold Ctrl. That will smooth the lines.

What Dave said!
I see you are using Curviloft.You should try something like this.
It creates a little depression where the connecting curves are placed but overall looks ok.

@bryan k said:

I have an 11 year old, i5 laptop with only 500MB (yes, MB) of GPU RAM and 16GB of main RAM.

There are no more hardware or firmware updates available for it.

Ha-ha, are you kidding me! You should be more than fine! I really thought you have a dinosaur!
If you don't have an ssd, buy one. It will boost you up considerably. Otherwise you're good to handle higher poly count models!

The only thing that matters in Sketchup is core speed.
My system is about 10 years old too!