Color Management question

Please..please forgive me. I am sure this is an amateur question

I set my Color Management to BlackMagic Design 4K Film, and I really like the color it shows, but when I render it is not the same color, even if I change the Output Color Space. Would really appreciate help or understanding of what Color Management is. Is it just for viewing clips and has nothing to do with what you're actual color grading is?
Thanks so much for your patience with me.

... but when I render it is not the same color, even if I change the Output Color Space.

Output color space should always be set (e.g.Rec709, 2020 etc). The rendered video should show the same as in the editor provided you view it on a correctly calibrated monitor and the media player does not change the gamma of the video.

How do you view the clips in Resolve, what codec do you use for rendering and what media player do you use?

Have you tried setting your data levels to "full" in your deliver page?

Cary, the rendered version looks identical to the image shown in davinci when I leave color management on Rec 709. It looks the same no matter what I put color management to.

Luca, I always set my data levels to full on delivery page actually.

Cary, the rendered version looks identical to the image shown in davinci when I leave color management on Rec 709. It looks the same no matter what I put color management to.

That means things are working!

What I'm saying is it always looks like the Rec709 version when I render it, even if I have output on Black Magic Design 4K Film. I am sort of at a loss for the reason why you would ever change it then.

What I'm saying is it always looks like the Rec709 version when I render it, even if I have output on Black Magic Design 4K Film. I am sort of at a loss for the reason why you would ever change it then.

The video is from which camera and what is the format?

It's from Ursa Mini 4K RAW 3:1

It's from Ursa Mini 4K RAW 3:1

Ok, so the Black Magic Design 4K Film is an input transformation, on the other end there is the output transform to Rec709, 2020 etc. In between you do the color correction/grading. By using the timeline color space you can define how your controls 'feel'.

The transforms are not designed to function as 'grading LUTs' to create looks.