This probably happens more than people think.
Most walls are buried in the ground, so you will not see the water bleeding through.
When a wall is exposed, then the bleed-through is obvious.
Typically, the bleed-through is low enough to be written off as evaporation vs. a leak.
For an exposed wall, then you would want to be closer to waterproof vs. watertight.
At this point, it will be difficult to address the bleed-through without stripping off the tile and plaster and applying some sort of waterproof membrane.