How odd, that things like paint ( emulsion, I am assumeing that they refer to the same material) are so different on the two sides of the ocean.
I have used conventional latex wall paint ( the same as used in any other room) for painting both kitchens and bathrooms for more than thirty years and have never found a problem with them, that couldn't be related to wall prep prior to painting.
I prefer semi-gloss for easier cleaning but never satin or flat , which is ,here, referred to as eggshell.
If your problem is wth running of the paint, it could more be an error concerning application than material.
If the term " emulsion" has a meaning other than paint in the UK, I appologize for my ignorance.
ed