You’ll be sacrificing a lot and have to hand-roll a lot if you want your organization to switch from Linux+docker to FreeBSD+jails
I imagine FreeBSD could do something similar if they aren't already. IIRC FreeBSD has a Linux emulation layer (but I don't know how much attention it still gets), and it's had containerization primitives longer than linux, so some amount of filling in the gaps in containerization features and syscall tables (if needed) could possibly yield an OCI compatibility later (for all I know all this already exists).
The problem, and the reason if this doesn't exist why people probably weren't as interested in doing the work, is it would always be "mostly" compatible and working and there would be no guarantee that the underlying software wouldn't exhibit bugs or weird behavior from small behavior differences in the platform when emulating something else. Why open yourself up to the headache when you can just run Linux with containers or build what you want on FreeBSD with jails and their own native containerization primitives.
You would need to do more work yourself to fetch and run jails probably, and I don't know if there's a hosted repository of 'jail images', but in return, you'd probably have a nicer system (at least, I'd like such a system more than running containers on google container optimized linux)