Quick search says around $1,600 USD per ton for mineral oil? Taipei 101's damper is 660 tons. No idea how that compares to a fluid damper, but if we assume similar tonnage requirements that'd work out to somewhere in the range of $1M USD in mineral oil. Granted that's, what, 0.05% of the building cost? So in that sense "not a lot", sure, but compared to the almost nothing that it'd cost for an equivalent amount of industrial water, that still affords a lot of alternative solutions. Especially since it just needs to slosh around, does it even matter if stuff grows in it? It's not like there's going to be sunlight, either, so there wouldn't be much growth regardless right?

Yes, exactly - This is what occurred (fire from an earthquake) during the tragic 1906 San Francisco earthquake (and fire): https://en.wikipedia.org/wiki/1906_San_Francisco_earthquake