I am also getting this issue. Not sure if its an issue with this plugin or with Search Unleashed. I am guessing it is this plugin though as when disabled, doing a search works normally. i.e the page of results does not include draft posts.
No probs. I’m not sure if that particular section of code is evaluated on every key press. If it is there may be a more optimal place to get the root url just once, rather than keeping on calling the function. Anyway, thanks for a great plugin.