Step climbing would be aerobic activity and you really should do it for a minimum of 10 minutes to get your heart rate up and boost your metabolism. It's certainly better than taking an elevator, but if your not getting your heart rate up for at least 10 minutes walking up & down them than it's not going to have a significant benefit for burning calories.
Personally I wouldn't count it since it's a part of your daily life. I also don't count grocery shopping or house cleaning or anything I do on a regular basis that isn't specifically meant to be exercise, but I know that a lot of people do and if it works for them, great. It does not burn enough calories or give me any cardio benefits though.
I suppose if you are losing weight than it's working. If not and that's the only exercise you are getting, well than you'll know it's not enough and not counting.
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