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The problem that you're seeing is that the value of the transform depends on what the object is that you are applying the transform, the data in frame A or the frame itself.
The sendTransform documentation is ambiguous and references the data transform, whereas the message is not and fully references the frame. The sentTransform documentation could be made more explicit to do this differentiation.
There's a duplicate question and answer here: https://answers.ros.org/question/194046/the-problem-of-transformerlookuptransform/
People most often encounter this in lookup vs echo: https://github.com/ros/geometry/issues/108
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