"Since Geithner is a strong dollar advocate"

I never understood what they mean with that. I do understand that they do not want the Euro to take over the role of Reserve Currency, but there are two very strong arguments to let the dollar get weaker and weaker:

1) It would favor US exports, much needed to improve the trade deficit and create income.

2) It would increase the amount of debt exported to the rest of the world. The more dollars they print and they manage to export, the more past US debt they export to the rest of the World.