Earlier quoted context omitted.
Please have some perspective. Human beings have existed in roughly our present form for 200,000 years. In another 200,000 years, chances are we won't recognize ourselves. And in 5 billion years, which is 25,000 times farther into the future, there will be nothing remotely resembling human beings . We won't be a distant memory, we won't be a memory at all.
That was my point. Natsu was worrying about the ability of a technological civilization to function near the heat death of the universe. Which is much further than 5-6 billion years away. A more "immediate" problem is the death of our own Sun. Of course, what you say is even more immediate.
Unless by "heat death" he meant a cold death, current thinking has it that the universe will gradually cool off, and ultimately freeze, because of the endless expansion provided by Dark Energy.
The fact that the universe is expanding exponentially, i.e. with a positive second derivative, was the first shock. The second came when the implications of this observation began to sink in.