Warrington added some respectability late on through Vinny Anderson and Chris Riley but Wigan were comfortable winners.
Poulter, who won his Ryder Cup singles match against Chris Riley, said his experiences at Oakland Hills would improve his game.
Adrian Morley, Chris Bridge, who also kicked four goals, and Chris Riley, with his 16th try of the season, were Warrington's other scorers.
Pat Richards' goal extended the lead but after Stuart Fielden was penalised under the posts Chris Riley scored and Michael Monaghan's try sealed the win.
Ryan Atkins and Shaun Briscoe traded scores either side of the break, before winger Chris Riley went over to cut the visitors' lead to two points.
Jon Wilkin put Saints 12-4 up at the break when Chris Riley could not control the slippery ball following the loose forward's grubber kick and Wilkin crashed over.
It took until the 23rd minute to get the Halliwell Jones scoreboard ticking when Warrington full-back Chris Riley dropped a towering high ball, leading to a sustained period of pressure for the Bulls that ended in Lynch crashing over for a video-referral try.
Mathers barged Ryan Hall out of the way, arguably illegally, as he waited to get his hands on a high bomb from Danny McGuire, and the ball bounced forward off Mathers' backside to be collected by Chris Riley - but no offside whistle was forthcoming.
Chris O'Riley and I go back quite a few years, so every time we get into a studio together, it's like hanging out with an old friend.
Power Lounge, which was created by Chris Mayoh, Ben Reynhart, Jonathan Riley and Sam Milton, were the overall winners.
BBC: NEWS | UK | England | Cornwall | Students designing Eden web games
Bill, who was declared dead by Trish when he went to jail, surreptitiously searches her new home for clues that will tell him whether he has passed his curse on to his sons, Billy (Chris Marquette) and Timmy (Dylan Riley Snyder).
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