> For me, integrity means I will change my mind when presented with convincing data.

It's not as binary as that.

Each new convincing data point may cause me to re-evaluate my position, but simply re-evaluation may not cause me to change my mind, but may cause me to slightly shift in the direction of the new position.

At some point, I would have ingested and/or seen so many convincing data points that my position is effectively neutral. And some point after that, my position may have actually shifted and not be neutral anymore.

IOW, it's a spectrum, and journeys across this spectrum are:

a) Slow - position moves in tiny amounts, and

b) Not guaranteed to end up on the opposite end - you might get to neutral and remain there for the rest of your life, or you might shift back towards your original position.