Thirsty from Santevia

I recently purchased a large Santevia countertop dispenser and can't drink enough water to quench my thirst. A quick google search mentions that this is common with Santevia adding minerals and adjusting your water's pH, but I'm wondering if I need to worry. Has anyone else found this? Does it ever go away? Should I be slowly introducing it to the tap water me and my family drink instead of going all in from the start? Sorry for all the questions. Thanks in advance..