As a shop owner I have ran into this a few time on higher powers cars.. the last one was a 2001 ZO6.. one of the hubs on the rear axle had excessive play in it!! Also the rear tire rod had some play in it. every time the customer would accelerate it would force the left rear wheel to toe in badly.. this would make her car swerve to the left as she “romped on it”.. have your tech check all the bushings tie rods and hubs/wheel bearing on the rear end and make sure there is no play or slop in of the components.
HTH, RAZZ
No matter what a stripper tells you, there ain't no sex in the champange room!! RAZZ