Lol nope, it's not that Zokura wants Claire to stick around. It's that this mission isn't happening this second, she wanted them all to see the shadow tomorrow morning, remember? So it won't be until at least tomorrow that she sends Sorren and his team, for now, she just needed someone to tag along for her to go tend to things, I could have picked anyone, it was random :) you might still go, that's up to Sorren ;)

Edit: but don't get me wrong, Zokura would love to have Claire stick around ^~^