This still seems to be an issue in later RCs… I was just about to submit as a bug when I noticed this issue already raised.
Unlike other apps that appear to be using the macOS Tab API, which I believe you're using, Orion doesn't seem to support Command (⌘) click on inactive tabs to avoid activation.
i.e. in Finder, Safari and others if I hold Command-while click/dragging a Tab I can move it in the tab bar order without switching to that tab. This convention of course comes from the same behaviour with background windows, where I can Command-click to move a window without bringing it to the foreground.
As described, if I hold Command while dragging an inactive tab, I should be able to reorder it in the tab bar without making that active, and therefore possibly reloading the page contents.
This issue with tabs is even more pronounced in Orion with Low Power Mode is enabled, because then you can't move an inactive tab without causing it to be wholly reloaded into memory.
Orion, OS version; hardware type:
Orion 0.99.113.2.1-rc (WebKit 614.1.12)
Monterey 12.3.1 (21E258)
MacBook Pro (16-inch, 2019) - 16GB memory