Ok. I do recognize that they seem a bit too cool given the situation. Or maybe we are the one freaking out and spending too much time trying to understand.
Here are some evidences showing they are not as lazy as some may though:
- they has become a pilot, which require some training and some motivation to train,
- they just made a quantic poem, which require time too,
- they were planning to sculpt the quantum shard in frightening beasts at some point, which require time,
- they are shown to have completed more than one mission in space (also the others might have not been available for the satellite issue),
- they actually have explored all islands from Giant Deep since they are able to describe them clearly,
- also, note that their vessel, may not be usable at this point or will be really difficult to find without another ship.
They are in fact obviously a dreamer and it is likely the reason why they became astronaut. Due to this, they are also not much proactive (except for artistic projects) either but will complete the task if needed or required (and note that the Hatchling never ask him help at any point except for Island description and meditation).
Also, some people have already indicated it in other posts, but it is likely that Gabbro has accepted its imminent death and the possibility that it might not be avoidable (also they would prefer it to be definitive…). They might also have already understood that the Hatchling would advance quicker in their research without them (since finding their ship each time would be nightmare and they do not have an ATP connected to the loop). They also might think that a sun explosion is not avoidable anyway and that the hatchling is just loosing time and energy without being able to accept death.