???No it doesn’t.
It means an action with respect to some agree upon unit of time. In simplest terms it can be “you leave an hour after I leave” or the cell towers requiring to be synchronized for smooth handoff when you are on a call on your cell phone. Both are examples of synchronization, though a lay person might interpret the latter as simultaneous.
I just said it does NOT necessarily mean simultaneous. As you've explained, a lay person might consider that some events appear simultaneously, although they're synchronised.
Hardly worthwhile going into detailed explanation here.