If anything the amazing thing was that people would pay us to look after our money in the first place!
If other people take their money out first you'll end up with zero, if you're lucky though a government bailout will come along and the loss is outsourced onto future taxpayers.
The bank doesn't have your actual money on hold in case you want it.
So, normally you would be correct about the point of low interest, but in this new world, post-QE, low interest rates are really just there to keep the economy limping along by hiding the massive structural issues, instead of encouraging credit growth.
That's why the whole narrative about the Fed heroically saving the economy after 2008 crisis is pretty much nonsense, IMO. The problem still exists and it's worse than ever. Who knows what the next can-kicking solution will be, if there even is one?