I like your wife's thinking! Mineral erosion systems are generally very expensive, costing far more than they save in chlorine. All they do is kill algae, so that the chlorine isn't used up killing algae and can fight the bio-hazards instead. But then you have copper and silver in your water, plus the expense.
Tri-chlor is chlorine and B-B-B uses chlorine. IF your pH is high and your CYA (stabilizer) is low, Tri-Chlor tabs can be very useful as they address all 3 at once. But once your pH is where you want it, you'll now have to add Borax to keep it from going too low, and once CYA hits the max level you want, you'll have to stop using the tabs altogether.
Like everything else, used correctly, tri-chlor tabs can be a boon. Used incorrectly, they can make things worse. "Converting" from tri-chlor to B-B-B isn't a conversion at all. You merely keep adding chlorine (bleach) without mucking around with pH and CYA anymore.
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