Distilled, deionized, and reverse osmosis (RO) water can all be neutral, but their pH levels depend on how they interact with the environment. Distilled is the only one of 3 that meets the "definition" of neutral, sitting at perfect 7 everytime at room temperature.
Reverse osmosis (RO) water is slightly acidic, with a pH of around 6–6.5. This is because RO systems remove minerals like calcium and magnesium that help maintain a neutral pH. However, some RO systems can add minerals back in to raise the pH. RO water can be 6.5 to 7.5.
Ro water will never be truly neutral unless mediated by hand. So should be ok so long as your ph metre is calibrated well.
Deionized water uses ion exchange resin to remove a large number of anions and cations in the water, but it cannot remove all ions. Distilled water is condensed when steam encounters cold, so it basically contains no ions (except hydrogen ions and hydroxyl ions).
Reason your metre cannot read anything in pure 7 water is there is nothing in it that can pass electrical current. Electricity cannot pass through distilled water because there is nothing In it to do so.
Even a tiny amount of minerals will give it a electrical conductivity. Which in turn make it readable so long as you have it calibrated correctly and is in good condition.