I do not have much experience researching calorie consumption from weight lifting. But it is probably a stretch to equate weight lifting to a stair stepper. The amount of energy you expend lifting is probably dwarfed by a stepper. For example, I just did a two hour bicycle ride on a trainer that calculated I burned 1,732 calories and produced 1,554 kilojoules of energy at the wheel.
A kilojoule is just a unit of energy and is force times distance. So, if you lift 100 lbs of weight 1 meter (about an arm or leg length, for simplicity), you produced 445 joules of energy at your hands. (1 lb. of force = 4.45 Newtons of metric force.) So, let's say you lift a total of 100,000 lbs. during your workout across all of the stations, reps, and sets. That calculates to only 445 kilojoules. It is about a quarter of the energy from my example bike ride above and probably similarly fractional from your comparative stair stepper workout. Although it felt like a lot, you really did not produce much energy weight lifting compared to a similarly intense aerobic workout.
Caveat: forgive my math or conversion if I mixed something up. It has been a few years since I looked at these calculations.