I use a Kyptonyte U lock to lock mine to the tongue of my rig. It runs through the handle of the genny and around the frame. The handle is molded into the case, so cutting it off would ruin the genny.
That said, it isn't so secure that anyone with a newer battery
operated grinder would feel challenged by. I watched a guy cut a hefty lock off a toyhauler the other day because he lost his key.
I cut a decent lock of my hitch a couple months ago with a hand hack saw for the same reason. It was scary how easy it was.
You shouldn't be overly concerned in Q.. there are always people around and it will be under watchful eyes while you are here.
Locks only keep honest folks honest and opportunists with less opportunity.