There are several ways that miners could try to convince the Bitcoin community that a change to increase mining rewards would be beneficial.
- They could argue that the change would help to secure the network by providing a stronger incentive for miners to continue participating in the network.
- They could also argue that the change would help to increase the overall adoption and use of Bitcoin, which could lead to an increase in demand for the cryptocurrency and ultimately drive up its value.
If double spends looked imminent, or started occuring, I think it would make sense to fork to increase the block reward. Of course, bitcoin has forked before and it becomes a political issue. Personally, the big block wars (and subsequent Bitcoin Cash split) was where I got off the Bitcoin train.
But if a fork happened, and the network that didn't adopt the higher block reward started getting 51% attacked, I do think people would move over to the new network (and that would become "bitcoin")