Walking burns calories because it is weight-bearing - you have to lift your bodyweight (even if it is just a fraction of an inch). If you were carrying an 80 lb backpack, that would burn significantly more calories than if it was just you walking.
But with a stroller, the extra weight goes down through the wheels, not through your legs. While you will burn slightly more on hills, with a good stroller on level ground, the additional calorie burn is minimal.
While the weight may be similar, a mower is a very poor comparison. Try an experiment - on level grass, give a mower a single push then let go. It probably rolls a foot or two unaided. Now give a stroller a single push on a level sidewalk - it probably rolls 30 or 40 feet. Using a mower burns a lot of calories, because you are constantly working against quite significant resistance.
Good strollers are very low friction, and the additional calorie is just a few per cent more than walking yourself. If you really want a more precise estimate, use a heart rate monitor.
The reasonable man adapts himself to the world; the unreasonable one persists in trying to adapt the world to himself. Therefore all progress depends on the unreasonable man.
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