And also, getting complimented by the one you can't predict would be a nice feeling. Knowing that, even though they weren't even closer than just "teammates" Dust Mote still considered him as "the least hated one" would've made her feel at least a bit special.
Now we know what Dust Mote reasoning is, but how about Star Cookie? Why would they accept this request? I mean, she's going against her own teammate because of this! What does he gain from this?
Star Cookie, however, has shown to stay neutral to whatever Dust Mote has thrown at them. Which makes her the safest bet. Not only that but Star Cookie also has a stable connection with every other contestant, making him a good ally to keep around