Are you going to be using the same painter? Is he taking responsibility for his mistake? The flashing is caused by uneven absorption of the paint into the surface. Most likely, made worse, due to the texture.

If your painter skipped the primer, I doubt that he used a quality paint. Personally, I'm not a fan of SW paints, but you only said that was the color. Could have been a color match in another brand of paint.

My suggestion would be 2 coats of a high quality ceiling paint (Benjamin Moore Muresco). And then either Benjamin Moore Regal or BM Scuff X, in an eggshell finished, color matched to SW Alabaster.

To get full, even coverage over texture, I would roll with a 3/8" microfiber roller, and leave extra dry time between coats.

Pictures?

hi - it's dark now and I'll send pictures tomorrow. My painter used SW paint. It was not color matched. I really appreciate all the advice!

So you had new drywall applied ( hate textured walls) then your stupid painter decided you did not need drywall primer . IMO hope you did not pay yet and do not pay until this is fixed which IMO will need 2 coats of realy good primer and then 2 coats of paint and all of that at the painters expense . I think a matte finish for the paint might help too.

Pictures?

Hello everyone, here's an update. The printer is committed to making this right so that's a good thing. Taking your suggestions - we have three test walls now in the house. One has SW Emerald with primer in it (a suggestion from another painter), one has an oil-based primer that we are waiting a few hours to dry and one will be similar to @Mary Elizabeth's suggestion. I'll report back. the paint that was used on the walls was SW ProMare and I think it's contractor grade. Definitely not the best. So much to learn. Again, we will report back.

There's really no such thing as "paint with primer", especially not over new drywall.

Your painter did not charge you less labor to paint with contractor grade paint.

Scuff sand with a sanding sponge, feathering that out. Prime with an oil base. Now paint.