This Drain Tile is discharging water about five feet outside of the foundation but see the dark stains and moss leading back towards the foundation, next to the mouse trap? Right where the arrow is, is a crack in the foundation block.
The upper photo is the inside of this corner, the homeowners finished basement had to be completely ripped out after the sump pump stopped (there was an electrical outage). You can see the water stains on the inside block, it just isn't getting into the underfloor pipe system, it takes a shortcut through the crack.
Cracks will go from floor to ceiling, this crack has the drain-tile discharge pipe next to and the downspout for the roof gutters. During a hard rainstorm this corner could see hundreds of gallons of water caught in this area, with the sump pump running we call this a recirculation system, the water pumped out is just moving back through the wall to be pumped out again.
The spring thaw might be worse, a snowbank is usually a couple feet from the foundation, we get a moat around the landscaping, the water can't get through the snow. The freeze-thaw cycle works like a wedge on the foundation, creating larger holes and cracks.
Drain tile may give you piece of mind but the foundation is still getting wet, cracks and holes will continue to grow and the system might stop working. Stopping water on the outside is Real Waterproofing, not water-management!