Has that person been able to do send/receive of the project? One thought would be that your list has an update of terms with some of those terms split. Those terms have rendering discussions that are inserted by the newer Paratext distribution.
That should not be a problem after doing send/receive. Those discussions notes should be shared with all users regardless of the version they are using.
As anon291708 suggests, checking the version of Paratext on each computer is important.