I dove the cenotes and saw the stalactites, several times. I think a little physics and common sense may help here:
First, the ceiling of the cenote chamber would have to be very very high to allow enough space for the stalactite to accelerate and gain enough energy to "kabob" the diver. Unlikely.
Second, since the falling distance is not long, the drag caused by the density of the water will prevent the stalactite from gaining "kabob" terminal velocity at impact. Unlikely.
Third, Our average joe diver would be wearing some form of insulation, plus the outer gear (tank, BC, etc) that will require even more energy for the stalactite to "kabob" him fully. Unlikely
Divers with less than ideal buoyancy skills are slowly carpeting the cenote floors by bumping into the stalactites and making them fall. Really a sad sight in quite a few of the most visited cenotes. But even so, i haven't heard of a "kabob" incident just yet.
Possibly, the storyteller might have been experiencing some type of narcosis...
Cheers,
CB