The water test serves as a decisive sorting mechanism, separating a tiny, select group of warriors from the vast majority of the army to determine who will ultimately go into battle. This small minority drank in a highly specific manner. They scooped the water into their hands and lapped it directly from their palms [ביאור שטיינזלץ]. By bringing the water up to their mouths, they completely avoided kneeling, setting themselves apart from anyone who bent over to drink straight from the source [רש"י].
The vast majority of the men, however, knelt on their knees to drink and are categorized merely as the remaining people. This categorization carries a subtle judgment. Earlier, men who stayed behind were described in a way that implied a purposeful and intentional presence. In contrast, referring to this kneeling group simply as the remainder suggests they are entirely superfluous. It indicates that these men are essentially excess and are no longer needed for the impending war [מלבי"ם].