ᐅ Should the wall be painted first and then have textured paint applied over it?

Hello everyone,
I have a question again. We are currently renovating and want to repaint/plaster the walls.
I tried my luck on an inconspicuous spot by applying textured paint with a roller. These are prefabricated walls made of drywall (gypsum board) or "wooden walls."
We first painted the walls with a white primer containing quartz sand, so the wall was already somewhat white. Now I applied the textured paint with the roller, but quite a bit still shows through, so I would probably need to apply the plaster again to get a good result.
My question is: would it make sense to properly paint the walls white beforehand and then apply the textured paint on top? Or does that not work? I also considered covering the walls first with renovation fleece wallpaper and then painting, but I think the version with painting white first would be the simpler and faster method.
The fleece would have the advantage of smoothing out some unevenness, but I would have to be careful not to make the seams visible.
Does anyone have a tip? And please no advice like "hire a painting company...." We want to do some of the work ourselves to save money. The living room will be done by a company, but we would like to do an office ourselves. Thanks.

Tip: The textured roller plaster must or can be painted in your desired color! Only textured roller plaster looks like a plastered and unpainted wall.

So, does plaster also need to be painted? I thought you just apply it and that’s it. Or did I misunderstand the term "roller plaster"?

Yep, as long as it is not tinted, every textured roller plaster needs to be painted. Otherwise, it looks terrible.

According to Knauf: Easy plaster can be tinted with the plaster tinting colors Compact Color, so that no subsequent painting is necessary.
==> so either tint it or paint it afterward

You don’t have to paint the textured plaster! You just need to apply it properly, and then it won’t look bad at all, and at least in our case, no underlying surface shows through. For example, the green color in the bathroom is no longer visible after primer and textured plaster.

Directly tinting the colors into the plaster is quite expensive. So, we either left the walls white (just plaster, no additional paint) or painted them in color afterwards.