short QT interval signifies shorter ventricle depolarization and repolarization time. so you know that the heart is beating faster as there is an increase in contractility (ionotropy).
contractility is based on intracellular ca concentration. After an upstroke by Na+ (inward current), the calcium comes in at phase2 (inward current). Remember that the calcium that comes in is bit more than the usual in hypercalcemia. Inward ca+ causes the release of ca+ from the SER, the famous ca+ induced ca+ release. Whether it be increased heart rate or sympathethic stimulation of the B1 receptor, more calcium causes an increase in contractility, aka positive ionotropism.
In short, hypercalcemia causes an increase in contractility (you also see increased heart rate), which would show as shorter QT interval. your original thought seems right.
In terms of
depolarization, its better to keep your mind on
Na than Ca, on ventricular action potential (at phase 0) or even when you are looking at SA node or AV node (at phase 4) where upstroke is by ca.
some quickies:
QT interval - controlled by heart rate.
PR interval - controlled by conduction velocity.
Increase in one means decrease in the other.
eg. increase in HR means decreae in QT interval.