I love those Dutch doors. I guess it depends how large your kitchen actually is and if you like having animals in there.
Not having a pen in there would certainly make it more liveable for you – I’ve only had rabbits in my kitchen in pens when bunnysitting, but now I can fit by bunny sitters in the rabbit room so no more kitchen.
I did not particularly like having a litter box and rabbits in my kitchen though – it’s not a large kitchen though so that made a difference to me. I have an ugly ugly linoleum I haven’t been able to afford changing so if they peed on it, I wouldn’t care but I always put an area rug under the pen so they had traction.
In my rabbit room – I have my three seniors in there – 2 have pens and one a 3 story condo – I’ve been letting Toffee run around unconfined but she’s pretty messy.
My other rabbit has free range everywhere but the kitchen and he’s very good with his litter box sans some teeny tiny poops that occasionally stray.