Is it possible to add the option in Map Viewer to display a light preview of, for example, just the name when the cursor is hovered over a point, so that the point does not have to be clicked?
This is currently not possible and is not an object within the web map spec. You can configure this in an instant app like Media:
https://doc.arcgis.com/en/instant-apps/latest/create-apps/media-map.htm
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