[AntiGuv]

It would be worth the effort if the sun were going to die soon.

Of its own accord, that would only be worth the effort of relocating to one other equivalent solar system; it would not inherently be worth the effort of exponential interstellar colonization.

[PatrickHenry]

that would only be worth the effort of relocating to one other equivalent solar system

Yes. But once it's done, presumably the technology then exists and is just lying around, not being used. So it's going to be cheaper the next time around, and the time after that ...

Anyway, the initial motivation for that scenario is a long way off.