As Pelissero points out he’s primarily a special teams player, and is regarded as a key coverage unit guy. New Giants coach Joe Judge is a Bill Belichick disciple, so it’s not surprising that he values his unheralded special teamers. Core was drafted by the Bengals in the sixth-round back in 2016, and spent his first three years in Cincy. Let go at final cuts last year, he was promptly claimed off waivers by the Giants.
He caught only three passes for 28 yards this past year, but appeared in all 16 games and played 62 percent of the special teams snaps. In his last year in Cincinnati in 2018 he caught 13 passes for 160 yards and as a rookie he had 200 yards in only eight games, so the Ole Miss product has shown at least something as a receiver.