According to this documentation I can change the zoom level for the Search widget. I have tried it several times but don't see any changes. I save the app every time then relaunch. Shouldn't this change the initial zoom level after you enter an address? Every time I change it it zooms to the same extent however. Maybe I am missing something. Thank you!
Be default, zoom scale is defined as 1:50,000. Change it if necessary.
Search widget—Web AppBuilder for ArcGIS | ArcGIS