I created a web map using the web app builder with items hosted from our own arcserver, when I use the following search for corner records nothing happens (see image).
http://countyofriverside.maps.arcgis.com/home/item.html?id=26ab70d308c349dd934b1b65378c6544
when I perform the same search on a different map using the app builder with feature services I created and hosted with AGOL it works (see link below). The only difference is I am publishing the data using AGOL versus publishing it using arcGIS server.
I have noticed similar behavior with the Charts widget. My workaround was to use the developer edition and host the html/css/js files on our own web server. Then the widget worked as expected with our on-premises hosted services. You could register your ArcGIS Server service as a layer in ArcGIS Online, perhaps that is a workaround, too (can't remember if I ever tried that.)