I'm pretty sure that a quasi-judicial process empowered by the gov't, under the Constitution, is operated under the auspices of the gov't, and transit to and from their offices, within the confines of the building their housed in, would be actions relevant to their function. As an analogy, OSHA recognizes that travel to work, regardless of the means of travel employed, is considered "work", for the purposes of claims made to OSHA for disability, in the event of some kind of lost-time event.
But that's my autistic take on it, and I'm aware that Canada isn't the same as the US, or many states, which is the actual point I was making.