Neutral-cool foundations are as rare as hen's teeth. It sounds like you need a bit of a grey undertone to match your skin (which a lot of cooler-toned people do). Those are wicked hard to find, because foundation seems to work on the assumption that all skin tones have undertones that are either pink or yellow. I'm cooler-toned, but I often wear slightly yellow-toned foundation, because pink shades look orange on me.
Or brands assume that neutral undertones = peach (the bane of my existence). And they don't understand that fair and light olive skintones exist. Or that some of us need straight up beige or brown.