It's definitely the wild west of dispatching. Here is an example of one time we couldn't reach the aircraft via Stockholm and the Captain had to stop at the reclear destination.
Body discovered after BLOOD dripped from US plane was a 'stowaway' | Daily Mail Online
Notice the first bullet point says it made an unscheduled stop in Harare. Then it goes on to quote a company spokesman calling it a routine fuel stop. Then later stating the captain tried to land in Mozambique and was turned away. Dead bodies and pallets of cash aside, this is how this type of flying/dispatching goes on a consistent basis.
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Currently, all are ACARS equiped.