Neutrals are sold as the cautious option and they are nothing of the kind. Strip away the naming and a neutral is a chromatic colour running at very low saturation, which means every fault in it is magnified rather than absorbed. The shade is rarely the problem. The undertone, and the company that undertone is asked to keep, almost always is.
A neutral is not the absence of colour. It is a colour held at very low chroma, and the pigments that get it there are the same ones used everywhere else. A warm white is white carrying a few parts of yellow oxide. A cool white carries a trace of black, and since most blacks are themselves blue or green leaning, that trace behaves like a hue rather than a shade. Greige is usually raw umber let down with titanium, which means it is holding yellow and a quiet green at the same time. None of this appears on the tin, and the name on the tin is written by a marketing department rather than a colourist.
The error is to assume low saturation means low risk. The opposite holds. At high chroma the hue announces itself, the eye accepts the announcement, and small deviations vanish into the general noise of the colour. At low chroma there is no announcement, so the eye hunts for a reference and takes whatever is nearest. Simultaneous contrast does the rest. Set a green leaning greige beside a pink based lime plaster and the greige turns sour, not because it has changed but because it has finally been given something to be measured against.
Then there is light, which nobody controls. Two neutrals mixed from different pigment sets can match precisely under the halogen of a showroom and part company under London skylight, because the spectral power hitting them has changed and their pigments answer that change differently. This is metamerism, and it is the single most common cause of a paint that seemed right in the shop. North light is diffuse and blue weighted, and it pushes any green in an undertone forward. Domestic lamps at 2700 kelvin do the reverse, flattening pinks and lifting yellows until a careful beige reads as builder's magnolia after dark.
“A neutral has nowhere to hide. At high chroma the eye forgives a great deal, and at low chroma it forgives nothing at all.”
Naomi Bregman
I met the identical problem making foundation. A base that looked correct in the pan turned ashen along the jaw, and the pigment had not moved a fraction. What had moved was the surround. Testing a neutral means testing the surround with it, deliberately and in the room it will live in.
Begin by refusing to judge a neutral against white. A manufacturer's card sits on bright white stock, which is the most flattering possible surround and the least honest one, since it exaggerates depth and suppresses undertone. Prime two sheets of A3 card, apply two full coats, let them cure, and then hold them against the materials that are actually going into the room: the oak, the unlacquered brass, the existing sofa, the stone of the hearth. A neutral has no character of its own. It borrows one from its neighbours, and those neighbours are what you are really specifying.
Then move the card. North wall, south wall, nine in the morning, four in the afternoon, and finally under the lamps you own rather than the lamps you intend to buy. Look at the sample against skin as well, because a large expanse of wall is a light source for every face in front of it, bouncing its undertone up onto the jaw and under the eyes. A greenish greige is a defensible choice in a hallway and a cruel one in a bathroom, for exactly the reason a green corrector is used to cancel redness and not to flatter it.
Decide the undertone before you decide the depth. This inverts the usual order and it is the only sequence that works, because depth can be adjusted by a percentage of tint while a clashing undertone can only be replaced. Keep one undertone family per sightline: a pink based stone with a pink based plaster will differ in value and agree in temperature, which reads as intention. Where two families must meet, break them with something genuinely achromatic, or with a colour deep enough that nobody is comparing undertones any more.