Yes, I was reading about this recently. Another study compared zinc uptake into the cytosol for various extracellular zinc levels, with and without chloroquine.
I noticed when looking at the data, that while chloroquine facilitated a massive uptake a zinc, it was still true that increasing the extracellular zinc concentration (without chloroquine) still increased the cytosol's zinc concentration (by a lesser amount).
I promptly ordered zinc supplements. Obviously I'll see a doctor if I have symptoms, but I'll also hedge my bets.