The Shaper Origin has you move the machine, and it makes corrections using machine vision to track its position. It will give you more accuracy than a Maslow; but at a much greater cost and more attention.
A jig saw does not make as clean cuts as a router, and you need to have the workpiece suspend so the blade can go through the work. With a router, you can just have a spoilboard underneath.
I really don't understand the market for the shaper. Even the youtubers that get paid to shill them don't seem to have a compelling reason to be using them.
https://www.mscdirect.com/betterMRO/metalworking/definitive-...
For example: - It can do dovetails, etc. instead of purchasing a Leigh jig and using a standard router. - You can do hinge mortises for various hardware. - Cutouts in hardwood floors for various registers, without having to make a template for just that thing.
When you get into curves instead of just straight lines it can be easier to work with the Shaper than a template/jig. You can also use the Shaper to build a template that a standard bearing guided bit will follow.
You can do all of that with another tool, but the Shaper origin does it with less setup. The trade-off is if you have the setup then a regular router is probably going to be much faster to batch things out.