Thanks! If we were transferring milk I might be a little more concerned, but we sterilized everything in the dishwasher beforehand, and were using vodka to keep it extra-sterile ;)
Consumer dishwashers do not standardize to a commercial standard. I have a pretty nice new dishwasher at home with a "sterilization" feature but there's a warning on the control panel that says that it won't achieve commercial standards.