If I was making this decision, I would probably pick a stationary CNC for general woodworking.
Note, I have never used the Shaper origin.
A stationary CNC lets you add a rotary axis under it, you can cut nice "turnings" like fancy table legs, a lot of the STL files on Thingiverse, etc.
No need for the "domino tape" with a stationary CNC.
The Shaper Origin needs to use the piece of wood that it's cutting as a "Base" to support itself.
This will limit what you can cut.
Look at the 3 minute mark of this video:
The CNC is cutting a "bowl" with a carving in it.
The shaper origin would struggle with doing a carving like this once a certain size is reached because it would lose material to support itself.
If you get the Shaper Origin, I think you are limited to their software. If you get a regular CNC, you can use the Aspire products, Deskproto, Fusion 360, etc.. A lot more options. Plus there's wizards people have made for Mach (traditional CNC). I have wizards for dovetails (through and half blind), box joints, etc.
The shaper origin could probably cut small parts out of small pieces of wood, but again, you have to support the base, so it's more setup .. Like suppose you want to cut out a bunch of marquetry pieces ..
You can start a job on a traditional CNC and then sweep the workshop or do something else productive as the CNC does the work for you. With the shaper origin, you have to push it around. So if the Origin could do a 3 hour engraving job (I don't know if it can or not), I guess you have to push it around for 3 hours? That's a huge disadvantage.
On a traditional CNC, you can put a much more powerful router/spindle than the shaper origin. Numerous advantages to that.. For example, I can cut 3/4 plywood with a compression bit in one pass. The origin is not going to be able to do that.
In all honestly, if it was my decision, I'd only get the origin if I had to take it to a job site or I was super limited in space and could not put a traditional CNC in my shop.