Nesterenko became the 311th goal scorer in Ducks history and the second Duck to score their first NHL goal this season (also Pavol Regenda).
McTavish co-leads NHL rookies in primary assists and ranks second in points (16-26=42) and total assists. His 42 points on the season are fourth-best by a Ducks rookie in franchise history, trailing only Zegras (61, 2021-22), Bobby Ryan (57, 2008-09) and Dustin Penner (45, 2006-07).
With a goal and an assist on the night, Terry posted his team-best 15th multi-point effort of the season.
The Ducks would be unable to turn that heart-warming momentum in a first intermission lead though as two Blues goals scored 17 seconds apart put the visitors ahead.
The first came off the stick of Blais, who danced around a Ducks defender at the blue line, cut to the slot and lifted a wrister over Gibson's glove for the tying goal.
Blais has four goals in his last five games and matched his career-high with eight on the season. The 26-year-old winger tallied five points in 40 games with the Rangers this season, but has 8-5=13 in 21 games since his trade to the Blues.
Schenn scored his first of two goals on the next shift, taking a long stretch pass from Kapanen on left wing and beating Gibson under the blocker.
With two goals on the night, Schenn now has three in his last two games (3-0=3) and four in his last five games (4-2=6). With two more points, Schenn will move into the top-20 among Blues all-time leaders.
Unfortunately for Anaheim, the opening minutes of the second would look a whole lot like the final ones of the first. Schenn scored St. Louis' fourth of the night one minute into the period as the fortunate finisher of a cross-seam pass by Faulk that Gibson had little chance to slide across in time to stop.
The two-goal night was Schenn's third of the season and clinched his seventh 20-goal season in the NHL.
Kapanen then scored 29 seconds later on a tough bounce for Gibson as Krug's point shot hit the St. Louis forward battling for position just outside the crease and carromed over the goal line.
The former Toronto and Pittsburgh forward, claimed on waivers earlier this season, added to the St. Louis advantage in the opening minutes of the third period, too. With the teams skating four-on-four, Kapanen carried the puck into the Anaheim zone and wove through the slot before lifting his bid over Gibson's shoulder to the short side for his second of the night.
Kapanen's goal was the 75th of his NHL career and his 12th of the season, his best single-season total of the last three years.
The Ducks would get one back a few minutes later but it would be far too little too late on this night, despite a heads-up play by Zegras and a fortunate bounce in the St. Louis crease. With the puck free beside the Blues net, Zegras banked it off the back of Binnington trying to hug his post and Strome then swiped home the rebound, bringing the Ducks back within three with 14 minutes to play.