I believe turning off auto match framerate has the same effect as what I observed with a 60Hz TV, i.e.: jitter-strobe goes away, but 3-2 pulldown judder becomes apparent, depending on the TVs de-judder capabilities or lack thereof. When enabled, the Live checks the list of permissible display modes that the TV passes back via HDMI, and selects the mode that matches the framerate that it parses from the playing video file. You can see it do this when you start playing a 24Hz file; depending on the TV, a popdown box, upper right corner on Sharp Aquos sets, indicates the HDMI frame rate switch to 24Hz. When the file play ends or is stopped, the popdown appears again as the Live shifts gears back to the default (60Hz) rate. When you turn auto match framerate OFF, the Live maintains the HDMI link mode at default, and, for 24Hz files, performs 3-2 pulldown (Telecine) to match the 60Hz default. I’ve not seen the problem occur on a 60Hz TV, whether the files were coded at constant framerate or not, nor do the troublesome variable framerate files exhibit problems when played on a PC application like VLC.
If your toolchain yields constant framerate coded 24Hz files, you probably won’t see this problem. I’m in the process of re-coding my library to constant frame rate as every one of the files I cranked with variable frame rate (the Handbrake default) exhibit the pause-phase characteristic I described. Coded at constant framerate, they play perfectly with no sign of the jitter-strobe effect, and audio seems to remain locked in sync through to the end of the film.