That does look just like them. Thank you!
As I previously understood it, only the males and the queens take to the air and disperse during their breeding season.
There is no definitive trait other than possessing genitalia and a male reproductive system, but generally, males are winged, have a greatly reduced head, extremely large eyes, and non-functional mandibles. Female reproductives, generally, have a standard sized or enlarged head, standard eye size relative to the head, and functional mandibles. There are numerous very radical examples that do not conform to this rule, such as wingless worker-like males with standard eyes and functional or even specialized mandibles, or female reproductives with reduced mandibles, eyes, and ability to survive. The best way to sex an ant without examining one is just recognizing what each sex looks like for their particular genus/tribe beforehand.