Depending on a few things, a 1% solution (assuming 1 g tannic acid in 100 g solution) would give a pH around 6.5. The gallic acid in there (up to 1% according to the data sheet) may bump this a bit lower but pure tannic acid shouldn't be at pH 3.0-4.0.
Either way, I wouldn't worry about the tannic acid itself - it simply cannot provide many protons to drive down pH in any significant way.