The LC Liberty was produced for many years with halogen alleys and takedowns. Consider that a pair of SXTDLED super high intensity takedowns requires 72 watts, while a pair of plain old 500-series halogen takedowns requires a mere 54 watts.
The term 'low current' actually refers to the way in which the lightheads are switched, not to the lightheads themselves. There is a predictable, low draw on the control wires in a LC Liberty. In fact, it's well less than one amp. The main power cable, not the control wire, carries the load for the takedowns, and for all of the other lightheads.
Older Edge bars used high current switching, but it wasn't referred to in that way until after low current switching was developed and implemented. In high current switching, the entire load for the takedowns would be carried by the control wire for the takedowns. The entitre load for the left alley would be carried by the control wire for the left alley, and so on.