Trim Tribulations

Given a curve and an intersecting line as shown below (SpaceClaim Style 2010), I am trying to use the Trim Away tool to remove the shorter segment to the left of the point of intersection. The segment that the tool chooses as the ‘most appropriate’ to remove terminates nowhere near the point of intersection. In fact, as one can plainly see, there is no feature at all at the end of the green segment candidate.

This behavior is something that I’ve lived with as an annoyance for quite awhile, but I’ll throw it out there now and ask if anyone else sees this behavior and how do you deal with it?