I think it is a false distinction.
We have a hallway with an exterior door. I guess you would call it a boot room. This has storage for boots, gardening gloves, overalls, some sports kit like bike helmets, hockey sticks etc. This is the most convenient place for all that stuff. Tiled floor, part tiled wall, turtle mat, heavy duty hooks and racks along the wall. The general rule is that things go here if:
- the thing can be stored so access is not blocked (is a wide hallway but still a corridor not a room),
- the thing is taken in and out of the back door but not used in the main house.
- the thing gets dirty/muddy/wet so you want minimum ingress into the rest of the house.
We have a room off it with no direct external door. It is what I think you would call a utility. It has laundry stuff (machines, drying racks, baskets, washing powder, stain devils etc); a huge sink; a secondary freezer; cat stuff; a big cupboard (for cleaning products / light bulbs / torches / batteries / stock pots / small tool kit / extension cables, etc); a long worktop with the food mixer and some other infrequently used bulky annoying but still wanted appliances.
We frequently come in through the door, take off and stash boots and gear, go through to laundry space, strip off chucking the mucky sports kit or gardening clothes in the plastic basket by the washing machine; hang up wet jackets / hats / gloves / umbrellas on the drying racks; wrap oneself in a towel for dignity and go upstairs for a shower.
Carrying a washing basket of clean laundry through between the machine and the exterior door is no bother.
We call the entire area "the utility" or "by the back door".