It radiates that heat away. One of the links I found said that Saturn radiates away more heat than it gets from the Sun. There must be huge convection processes going on in Saturn where hot material from the core rises, radiates away its heat, then sinks back down into the interior. The cloud tops aren't on fire because they do not retain their heat.
The Sun radiates it away, also, that much heat would cause those materials, especially the hydrogen they claim is there, to ignite.
The heat that is claimed, over the mass it extends, would make Saturn and Jupiter the most turbulent of planets, but also on fire.
Not liquid oxygen/hydrogen/ammonia/methane/whatever.