Not anymore. They process them every few days and get posted all the time. I just got one yesterday. OP, I checked back through my last 10-15 Amazon gc redemptions, and it's taken on average 7 days, with some taking 6 days and some taking as much as 10.
In terms of swagbuck to dollar ratio, the $5 Amazon gc gives the best bang for your buck. That's why I get them to really maximize my Swagbucks earnings.