I think if you are LSF and think you will be lynched, you should role claim. We can still choose to lynch you, but we will split up votes so that it is very difficult for TSF to get permanent voting power.
If there is a bandwagon, special forces players will vote together. If there is not, they will separate votes. This way they can ensure that if voting manipulation happens they at least get some voting power if the person that dies is a rival SF. Unless they know a person is rival SF, of course.
SF players are incentivized to not vote for robots. If you are in a close lynch vote and are a robot, claiming to be a robot will make SF players not vote for you.