Altus has them in stock ready to ship if you wanted a new one and don't want to wait (not the spiral knob).
https://www.altusshooting.com/products/bighorn-arms-origin-short-action
Otherwise I don't know if the screw area of the WTO would be compatible with the top rail on the Origin because it extends out over the recoil lug/barrel. I wasn't aware of the WTO before you mentioned it, so I went to their website and looked at the videos. To me it is a solution looking for a problem. Having the ability to swap barrels/calibers is a cool concept, but I feel that most people tend to just stick with one caliber unless you want to completely convert the rifle to a different caliber in the future. Not to say that people don't, but its a more tedious process to sight in and reconfigure every time. There are also pre-fit barrels available for the Origin which are fairly painless to install. I am strongly of the mindset that rifles are tools and you need different tools for different jobs. As far as the advantages and compactness go, I have a folding stock on my chassis rifle because I thought it would be a great way to make it more compact for storage and packing in. I have never folded, not even once in the three years or so since I built it.
Just my opinion, hope it helps.