Goals from Byron Moore and Ryan Hardie were enough for Argyle to return away with all three points from their trip to the Lamex Stadium, although a floodlight failure made for a nervy finish.
And Westley believes Boro, who dropped to the foot of the table after defeat, deserved better, singling out a handball within the build-up to the primary goal because of the turning point within the game.
The win puts Argyle into the highest three and therefore the automatic promotion spots, with leaders Swindon six points before them but having played two games more.
In a goalless half, Jake Cassidy had an attempt well-saved by Alex Palmer while Antoni Sarcevic almost added to his six league goals when he charged down a clearance from Paul Farman that trickled just wide.
Argyle hit the front immediately after half-time, Moore finishing well after being played in by George Cooper, although Westley was adamant the striker had handled the ball before finding the rear of internet.
The floodlights then gave up, meaning a disruption just before the hour, and once play resumed, Palmer was again called into action by tipping Carter’s strike onto the crossbar.
Hardie later made it three in three for Argyle when he rounded Farman to double the lead with the remaining quarter of an hour.
Carter pulled one back with eight minutes left but even with 13 minutes of stoppage time, Argyle persisted for the three points, much to the delight of Ryan Lowe.
Westley said that they nullified all their strengths which were the reasons why they had come away with the victory. It was an honest win for them and put them into the highest three. However, they were not getting over excited because there was an extended way to go.