I would like to apologize for my delay in my reply as I was not receiving my notices for new support forum posts for about a week. Just reply notices to ones that were already started which is why I’m just now noticing.
It looks like it working fine. I just tested with a random partial name:
Are you asking about using the WordPress native search up at the very top of your site? If that is the case, no, Connections entries will not be returned as results.