How small is 'small' is the question?
Our previous 2 houses had what I would call 'large' rectangular/galley kitchens (about 2.5m x 5 or 6m) and I HATED them. Unnessacerily large and end up doing laps of the kitchen to reach everything which is exhausting and they just where magnets for clutter.
Our new house had the same and we spent £15k to split it in half by ADDING a wall to create a 2nd bathroom and smaller kitchen. Our new 'half sized' kitchen is perfect, I can stand in the middle and dont need to take more than one step any direction to reach everything yet it still has everything we need and the lesser unnecessary counter space means less space for clutter to build up.
That said we did look at a couple of houses that had MINUSCULE kitchens and it was off putting. One house the kitchen was on the landing (really weird design in a 3 story town house) and it was litrally a sink unit and cupboard, that was it, it was like 1.5m x 1.5m plus had stairs going off it both ways so no wall space anywhere else. Another house the kitchen had been added in a little porch extension and then they had the kitchen cupboards in the living room.
One thing that annoyed me in several houses (including the one we bought) because I just cannot understand why is that several houses did not have space for a fridge in the kitchen. I honestly never realised it was such a common thing until looking at houses and its not even that they had small kitchens its just they had NOWHERE to place a fridge.
Obviously the 2 tiny ones above where like that but our house that we bought had a back door, 2 full wall length windows and a knocked through open planned stairwell and the only full wall had cabinets along the whole length. So no practical place to put the fridge but loads of houses where like that, just illogically designed. Several houses we saw had the fridge random places like under stairs cupboard, the basement, in garage or brick shed, in hallway, in living room. I understand having a second freezer or something in those locations but not your MAIN fridge/freezer. When we added in the wall to split the room in half that gave us space to put our fridge in.
Honestly if its over 6m2 (box bedroom size not cupboard/porch sized) and has a place to put a a fridge Id be happy.