ECL uses current-switching: a fixed current is switched through different paths. The bottom transistor sends a fixed current through the left or right side. It's like a differential pair in an op-amp; the transistor with the higher input voltage wins and gets most of the current.
Closeup of an inverter on the die. Transistors have 3 contacts, resistors are outlined rectangles. An ECL inverter is 10 transistors vs 2 for a modern CMOS inverter. T4 is the current source, T2 and T3 steer the current, T1 buffers the output. T5-10 generate reference voltages.