I would like to be able to search for terms or field names with a model with the search box. I keeping typing in the box but get no results. Am I using the search wrong?
Have you followed https://pro.arcgis.com/en/pro-app/latest/help/analysis/geoprocessing/modelbuilder/search-and-filter-... ?
Search and filter are to search for model elements. Can you clarify what types of 'terms' you are searching for?