No. If you use AOW you do not need to leave your current provider. We simply provide an alternative to expensive carrier roaming packages.
However, in order to use AOW, your device must be unlocked from your carrier, and your device APN settings must be modified - either using the AOW app if you have an iPhone, or manually on any other mobile device.
Once you arrive at your destination, just swap out your carrier SIM card with your AOW Data SIM card to access the data network and use your scheduled plan. When you return home, reinsert your carrier SIM and save your AOW Data SIM for future trips!