But it would (will) take hundreds, if not tousands, of years to become fully diluted. If that is even possible.
Water exchange in the depths is very slow as there is no wind or sun to power movement as on the surface and in shallows.
In the short term seepage will be concentrated around the leaking containers.
More so at greater depths.
That's probably a good thing as the introduction of leaked chemicals into surrounding waters will be further slowed giving natural processes enen more time to dissipate the poisons.
Still, it is a shortsighted way to dispose of munitions and other dangerous substances.
There used to be such a notion as subduction zones in plate tectonics. Plate tectonics has been set aside to consider the more plausible expanding earth theory. It was theorized that wastes could be dumped at subduction zones and disappear into the magma for purifying. Dumped wastes do not however get subsumed.