I have never seen an LII suck up to a boss, and my sister is LII and I know eleven others pretty well. The most I've seen in that direction is that they might get concerned if they thought they were going to be let go because of lack of performance, but their reaction is not to suck up, but either to try harder at the task and to start emotionally withdrawing at the same time, or to threaten back if they have a contract. They might vent about the unfairness of the situation to their intimates, but as for sucking up, no.

I think @FreelancePoliceman pretty much nailed the LII motivations. At least, what I have observed agrees with his statements.