Nature thwarts gene drives by modifying their targets, so it's important that whatever is being targeted can't easily change. Surviving instead of being killed off is certainly an evolutionary advantage, after all :-)

There's been some research on finding targets that can't be mutated. Here's one example: https://www.nature.com/articles/nbt.4245

While that may be true for general use of the gene drive, doesn't this particular use significantly increase the fitness of the individual organisms (despite being harmful to the species as a whole), resulting in essentially no evolutionary pressure against it?

Evolution happens on all levels at the same time. So, while this is the most likely result, it's not impossible that things go in other ways.

Anyway, it's also very unlikely that those actions result in anything worse than resistance against those same actions in the future.