Haven’t raced it, but have done the course. Don’t think climbs would be problematic on the tires you mention. Descents have some tight corners with loose gravel as noted by the organizer and there are some large ruts for sure. I would want larger tires for that personally (I run a HT as my gravel bike) BUT a guy I went down Crooked Run with was on a CX bike and gapped me pretty easily.
Sorry if that isn’t super helpful. Course is enjoyable.