Right, that's also used to control the reaction and heat output. I don't know about the design of these particular reactors, but are they capable of taking more control rods right now? I was under the impression it was already a lost cause. You can't just wrap the reactor in absorbers; they need to go inside.
Good thing boron (one of the most effective neutron absorbers) is soluble in water (as boric acid).
The trouble is, they've been pumping that into the cooling water to try to make sure that any nuclear fission is stopped. Of course, the other fact working in their favor is that power reactors run on lightly enriched uranium. LEU can only fission under a specific geometry, with a specific amount of interstitial water moderator. This configuration is unlikely to be achieved following a meltdown (but potentially, if enough fuel melted, and it was fresh enough, it could just maintain a fission chain reaction).
However, while the fission reactions can be controlled. The radioactive decay can't.
Following nuclear fission, the atom fragments are highly unstable and incredibly radioactive. The radioactivity is so intense, that the reactor is powerfully self heating. Take a fuel rod out of a reactor, shortly after shutdown, and it get red hot and burst into flames within a few seconds. Remember, the reactors melted down about 24 hours after they had been shutdown, after generators and cooling systems failed. Keeping the rods cool, requires huge amounts of water, and powerful pumps - typically, a reactor will have between 2 and 4 pumps of 5,000 - 10,000 hp each.
Even after 12 months for the radioactivity to decay, the rod will still get extremely hot (1000-1200 F) and crack, releasing the uranium/waste powder inside it. This heating is uncontrollable; the only thing you can do, is keep pumping water in to act as a heatsink.
If such a molten, self-heating mass manages to melt a narrow hole into the reactor building floor, then it may prove very difficult to cool it sufficiently to prevent it from continuing to melt through.