The face of the profile may still be inside your follow-me result. It could be causing the break. At this point with endpoints off it might not be as noticable but if its there it should still be removed as it is extranious geometry. It might also become a visual glitch again if you texture the model - as such perpendicular faces often 'bleed' through.
To check to see if there are faces in those locations zoom in and turn on the x-ray display mode. If theirs the old profile face lurking inside there it should be apparent. If there is delete it and your lines might automatically heal. (In v7 they are more likely to heal than in earlier versions). You might then find you can turn back on the endpoints if you'd like.
Regards, Ross