Everything I have read on the topic would lead me to believe they are local as well. I've looked at a couple of the larger persistent mp missions out there (Evo, Domination, etc.) and all the JIP-related scripts seem to broadcast public variables server side for use by scripts client side that update the time on the client so all players are synced. I have never tried it though. But, I also believe Doolittle has a lot of experience with skipTime if I recall correctly.