It depends on your comparison; a Lack table is maybe an extreme example.
I say this because I’m currently working on a project to build a full kitchen’s worth of cabinet carcasses using good quality 19mm plywood, and I’m aiming for it to be cost neutral with Ikea’s kitchen cabinets, having sourced the plywood from a local DIY store. (Obviously ignoring the cost of my existing tools.)
Which is to say, if you could source plywood in volume (therefore cheaper per square meter) and amortise the cost of the CNC machine and other tools over time, I think it would be feasible to be close to cost competitive with IKEA‘s kitchens.
I applaud you and your project.
But CNC isn't the silver bullet. What I ended up with is 25mm glued wood for frames, 55mm for tops and 15mm plywood plus veneer for facades.
If you use 19mm for frames, you won't have enough strength for hinges, which would inevitably be abused.
If you use 19mm for tops, they will sag and vibrate. The best top I have is actually 55mm IKEA glued oak.