Hsk every time for me.
They run truer and machine more accurately, the tool clamps on a taper and the spindle face so has greater contact surface area. Better for high speeds and excellent for shrink tooling. The bigger spindles i.e. hsk30 and above also have internal drive dogs (keys) so do not lack heavy cutting capability. Fingers clamp tools up to 27Kn on average.
For slow speeds, rough/ intermittent cutting tough material machining, its probably better to use BT.