Green eyes read as having a definite colour of their own, usually consistent across the iris and often with a warm gold cast near the pupil. Blue-grey eyes read as cool and comparatively colourless — the impression is of a pale, unsaturated iris rather than of a green one. The difficulty arises with the least saturated green eyes, which in poor light can look simply pale and cool.
The boundary is a question of how much saturation counts as a colour. Blue-grey is not a category most classification systems record at all, and a low-saturation green sits close enough to it that observers reasonably disagree.
This pair is particularly vulnerable to automatic white balance. A cool-biased image can strip the warmth from green eyes until they read blue-grey, and a warm-biased image can add enough warmth to blue-grey eyes to suggest green that is not there.
No photograph or online colour-picker tool can definitively classify which of these categories a specific pair of eyes belongs to — classification is inherently somewhat subjective, and lighting/camera effects change the apparent result.