When installing LFS there is an option to set up file associations (meaning that you can click on an LFS file or click a link that starts "lfs://" and your computer will know to use LFS to deal with it)
If you didn't do that at the time, you can do it with the "associations tool" on the downloads page
The biggest difference I can see in any of those coordinates is 10, but that is in MCI units. To get metres it has to be divided by 65536, so the jiggle is less than a millimetre in the world space.
From my experiments back in the DCON days (memory might not be 100% ) it seemed to be connected to the delay in objects appearing - I did a side-by-side comparison of changing the lights versus replacing one object with another and they were always synched, whether it was fast or slow to respond.
"Offline" means you are not connected to a server, "Spectating" means you are connected to a server but haven't joined the track, and "Racing Online" means you are on the track