How about naming teirs 3-5 after what powers them. like a teir 5 furnace could run off plasma from a fusoin reactor and call it a "plasmatron furnace", "plasmoid furnace". but if you did that I would like a simpler generator than a fusion reactor for generating some plasma. teir 4 could be an advanced electric hybrid furnace generating plasma in the furnace at low efficentcy with no wear on iridium parts(rings). teir 3 could be a basic version requiering plasma to be transfered to it at an insanly inefficent cost and/or by consuming parts.
The centrifuges could follow a simular proposed teir system, combining the industrial centrifuge with the thermal centrifuge. then using plasma as the energy source. the recycler tiers 3-5 fill up with scrap then melt/burn it to get usefull stuff/super matter fab fuel from it.
you could say that the first teir is technically steam powered machines,