You will need to back that claim up with a long list of facts.

The article backed that claim with zero facts, the GP responded in kind. This seems to be pretty fair.

Not to be picky, but they could be on a par. There doesn't have to be a massive difference in this regard. Jails are well established, and well understood. I prefer BSD solutions and I run jails and Linux kvm.

Jails have been around longer, but I'm not sure how much it really matters. Jails and containers both share the kernel across workloads. A kernel exploit is generally accepted as the barrier to break out (and of course implementation bugs). VMs don't share kernels across workloads, but do share a hypervisor which can also have breakout bugs. Both jails and containers depend on the kernel to be bug free.

VMs (depending on hypervisor) are easier to secure by default, you can't easily forget an overlay fs, or make other mistakes that expose some part of the host to containers.