My experience is that it takes a week before the order is even sent. That’s a week after payment has been confirmed. I even had a shop do this once as their site was not accurate and an item I’d ordered wasn’t in stock – they didn’t bother telling me this, they were waiting for the item to arrive before sending out the order – I cancelled the non-existent item and got my order sent finally two weeks after paying for it. Then postage can take up to a month.
I really don’t get the delays given that private sellers on ebay can ship things around the world faster than many of these supposed businesses.
Warlord Games was one of the longest wait times, Hasslefree wasn’t much better, Northstar was okay but still took time processing. That’s when you appreciate the turnaround times for a company like Games Workshop.