I'm not sure you understand what this is. It's not a router, it's a handheld 4'x8' CNC. If Makita has a 4x8 CNC for 200 bucks, it's news to me. :-)
It doesn't have "a little map of where you're supposed to go", it has a display showing where it is going to go. Now, I don't drive my router every day (a Bosch, FYI), so I'll admit I'm not a skilled operator. But my ability to follow a pencil line with a router is iffy at best.
You are right that the biggest problem to making cuts with a router is it grabbing and going off path. That isn't so much a problem with a CNC. I don't know how the Shaper, being hand-held rather than a mounted chassis, prevents kicking out like that. I don't know if it stops cutting when you move the body, or is fast enough to move the tool when you are repositioning the body and the tool grabs.
The Shaper's goal is that an unskilled operator can do accurate and repeatable cuts.
That said, I haven't used the Shaper. I've watched some folks over the years use them on YouTube, and I've half wished I'd bought the older model when they had it for pre-order for $1,500.
But the downside of these tools is that you can't just whip them out and start making chips, you've got to have CAD and CAM experience and generate the gcode. I've done a little with 3D printers, and SketchUp, and custom gcode. But I'm far from being able to bang out a set of shapes for a one-off project. I'd have to be making a few or more of something before I even considered it.
The Shaper looks insanely cool, and I wish our Maker Space had one, but I also don't have an immediate need for one either. I CAN tell you that I've recently been wishing our 4x8 CNC took up a lot less floor space, it's bigger than either of our workbenches but can't be used as a work surface (policy decision).