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I'm not sure whether the recoverPose function provide an wrong angle. But, I have the similar opinion with yours. I had compared two functions ( cv::decomposeEssentialMat and cv::recoverPose() ) and confirmed that the results were different.

[The number of function results] (A)cv::decomposeEssentialMat : two (R1, R2) (B)cv::recoverPose() : one (R1)

When I rotated an web-cam by 25 degree (Axis angle) (A) function gave us two rotation matrix R1 (25 degree) and R2 (wrong value). (B) function gave us one ratation matrix R1 (sometimes 25 degree. but some times wrong value)

I also couldn't know the reason why the fuction's results are not reliable.