It looks like everything on the poster is made to be cut on a 3-axis machine. Stepping up to five-axis is a huge leap in cost at present, and surely was then as well.
Tooling has likely improved in availability and cost since 2004 as well. Automatic tool changers have probably also become more affordable, but just like going to five-axis, you're getting into a whole different class of machine once you start talking about adding that.
Some of the reasons to cut stuff single-sided on the flat are unchanged by any of that though. It still costs you precision (and time) to flip a workpiece over, and you're going to have issues if you don't have good consistency with your material thickness if you need to reference your Z axis to the material surface rather than the bed surface.
Working an end of a long piece remains a pain in the ass for fixturing that involves a hole in your machine bed, and possibly the floor as well. Tenoning a bed rail, for instance, is inconvenient however you do it.
All of my CNC experience is on a three-axis machine, five-axis gets you a lot of flexibility that most places won't have unless CNC work is their primary focus, or at least core to their workflow. I've seen a shop that builds high-end windows with a large five axis machine. I have no concerns about the durability of their products, it's just that most people don't have access to that kind of capability.