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I wondered about this so I did a bit of work with my thermometer and glass hario switch.
I closed the valve so no water could get out and filled the entire thing with boiling water with a thermometer inside, the max temp the thermom read (after about 45 seconds) was 77 degrees, it then started going down. I dumped that water and refilled it with more boiling water, the highest that got was 84.
So if you're trying to maintain 92 degrees or so, I would say that you would be there for a while if you're just running water over the ceramic.
Whether you'd find this drop in temp affected flavour or not is another thing entirely... but this is the kind of thing people on the sharp end of stuff worry about and why they do things like develop insulated drippers, lids, cozies for their drippers, etc.
It's definitely a lot longer if you consider that you're trying to keep water at about 92 degrees.