If all the money ends up in one place, from one single person to an entire group, if they have no need to spend any of it ever because the robots they control will make everything for them, then the rest invent a replacement currency and contine their own disconnected economy without the results of the automation.
But the very fact that some person or group is capable of hoarding all the money because they no longer need to spend it, means they have no real reason to care if it's taken away or diluted by government orders for "inflationary" (in this case more like "anti-deflationary") money printing.
How well that new economy works for those without automation is difficult to guess and depends on what real resources (if any, currency in the abstract doesn't count but precious metals might) get monopolised by those with automation, though the transition to it would likely be disruptive.
But that disconnect only happens when the robots can, amongst other things, make more robots (if robots can't do that then humans get paid to make robots), at which point money as we use it today stops being relevant — if I had such automation, it stops mattering to me if my tenants pay rent or not, irregardless of if they have that automation themselves, and I can tell a robot to make another robot and then give it to my tenant without meaningful loss to myself.
