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I don't generally paint freshly plastered walls but I'm not usually working on or in building sites. So to answer the question it's normal for me to paint walls where the plaster has been drying for anywhere between 1 and 100 years. In my own places I leave the plaster to dry for 6 months before painting so yes I've painted some fresh fully dried plaster.
I've scraped a lot of paint from walls that were painted too quickly though. It usually comes off very easily. You get used to the look of the plaster underneath and the paint usually has plaster dust on the wall side.
Over the last 20 years the building game has been cutting corners so badly, if you don't know what you are looking for it only bothers you when you want to correct it. It's not an opinion though, it's the science of plaster, it'a a crystal that is forming the surface for many months after it's touch dry and paint doesn't bond properly to it until that surface formed. Of course 6 months is only a rough rule of thumb.
I know it seems odd that someone in the trade would refuse to do a job when you see it's being done all the time but in my case it does happen or I find another way to do it that works within the parameters the client has. Sometimes that could be lining a wall that has been recently plastered. I still don't like to do it and it's very hard to convince me that you can't live with a plaster wall while it drys as it's not that big an ask.
I don't work on new builds they are usually painted by teams but some of the most recent new builds use different techniques, a lot of European builders have never skimmed plasterboard, they tape and fill the joints with the equivalent of easifill and paint that.
Builders will paint anything without question and usually with one type of paint, a lot of them don't even see painting as a speciality. My work doesn't bring me into conflict with them for which I'm thankful. They wouldn't want me snagging their work but most of them are not too worried, painting is just a pain in the ass job that has to be done once the important stuff is finished. :)
I might be reading this wrong because I'm not able to closely examine the wall but it looks as if it was plastered and painted too soon without allowing the plaster to dry properly (that should be 6 months). This is not uncommon these days!
That should allow you to get a scraper with a sharp blade and take all that paint off very easily. Depending on your skill set you will have to fill some little gouges after that process but you should have a plastered wall which you can roll with emulsion, probably water down the first coat as per manufacturers instructions or use Gardz. I would remove the cupboard door and tape plastic over the cupboard while you do this job.
If the paint doesn't scrape off easily you will need to remove the loose stuff and fill with something like TX110 (Toupret) or easifill. I prefer TX110. When you fill it let it dry a little then feather the edges into the wall with a sponge to avoid having to sand too much. It helps a lot if you then use Gardz to stop the filler flashing under the emulsion. It does take some skill to stop this damage showing. I like to line walls like this for clients that want a really fine finish.
I would probably try to repair it this way as you have hopefully fixed the reason it was a problem. If however you have problem with the new paint you'll probably need to paint this wall with an oil based damp resisting paint. I wouldn't go down that route unless you have to because it can complicate things and it's unpleasant to work with especially if you are sensitive to volatile organic compounds.