How to add bash auto completion to `k3s kubectl ...`?

Question

I add bash-completion for k3s by running:

. <( k3s completion bash )

When I run the following, I only get bash-completion for kubectl ... and not k3s kubectl ...:

. <( k3s kubectl completion bash )

However k3s kubectlspaceTabTab doesn't complete the kubectl context.

What I ended up doing for now, is having a function (see blow) that runs k3s kubectl when I call kubectl but I would still like the proper way to work as well.

kubectl() {
    k3s kubectl "${@}"
}

Is there a way to add bash auto completion to k3s kubectl ... ?