Oh I have just painted our larder door with chalkboard paint which is right by our door. If the door opens against it then it should be fine but as long as there is enough room to pass by (so that you don't rub against it) then go for it! This is our door:- (ignore the rest as we are still renovating!)

I don't think it needs much to be honest, the area looks lovely. Personally I would keep with the White walls and add a larger contemporary wall clock where the existing one is and a piece of art where the high chair is either in lime green or a mid blue. Add tea, coffee pots etc in black and then just add tea towels etc in the lime or blue. I would also add some bigger pieces in those colours in the shelving doorway. Or if you want to go holder paint the back wall in the blue so you frame it as you come through the doorway (if you know what I mean!) That is all on the basis the cabinets are orange and not red.

Hello, I love the concept and the 'EAT' :) my honest thought is the light wall on previous picture gives you a sense of space whilst the black closes the space off, giving it more of a American dinner look and you can see the wipe marks. I'm a colour specialist obsessed with paint & colour! To get across this I would recommend going for a chalk board paint in a colour, drop me a message if you do want more details where to get it from.

If you're feeling brave you could have a really simple update with a chalkboard wall. Looks like you have kids. Some pics below for inspiration. Doesn't have to be all about black, you can add pops of colour too and then continue those into table mats, accessories etc. You could do a half wall and leave radiator below white (perhaps with slimline shelf above radiator running while length to the partition wall to delineate) or go whole hog and paint radiator black too. Its a lovely space. Good luck !