Actually, I seem to have found a temporary workaround thanks to Mike Shapiro over on Logic Pro Help - even though his post comes about 3 years before LPX, it still seems to work 🙂.
I'm running LPX 10.0.4 and Mavericks 10.9 and the following seems to have (mostly?) resolved video stutter.
1) In Finder, duplicate the video file provided by the editor
2) Open it in Quicktime 7 (you'll have to find this on the internet or copy it over from an old OSX installation if you don't already have it)
3) Use the Movie Properties inspector (Cmd-J) to remove the audio track
4) Save as a new file with "(No Audio)" suffix
5) Pull that into the Logic Pro X project - Tada
(I suspect this is un-important, but the codec in my resulting (non suttering) .mov video file is "AVC Coding, 640x360, 25fps, Millions of colours")
If you need the audio track from the video file then simply temporarily load the original video file that has the audio into your LPX project, choose to extract audio when opening the movie. This will leave you with the video files audio track as a Logic track, then remove the video again and load up the "(No Audio)" video file.
Hope this helps some of you. It seems that this particular bug definitely has something to do with the way Quicktime audio playback is interacting with LPX.
My temporary workaround for the video start time/ SMPTE drop frame bug is to punch into record (on any track) temporarily after adjusting the project start time which seems to snap the SMPTE timecode back in line.