For any fellow members unfortunate enough to have a South African passport looking to obtain a Schengen - I can provide a small update:
Basically due to the above post you can forget about getting a visa appointment in the next few months, until the issue of appointments is sorted (if ever - VFS dont seem to care)
The
Orange Carpet option does seem viable (I applied today):
1. You will need to ask your employer to apply for an Orange Carpet registration number of sorts (plus you need to support why. ie: you have offices in The Netherland, you need to travel frequently etc.
2. Once you have this number you can take it to your local VFS office and apply for a Schengen as per normal, WITHOUT needing an appointment. You just present your docs and get a ticket.
3. In my case I managed to apply via my SO's employers registration as a spouse, which was a real lifesaver. (so essentially as a family you only need to convince one employer between the 2 of you to register)