A WMS Service, Web Map Service, returns images of a certain area. These can be used for example as background maps but they can also be used as business maps and overlaid other datasets.
When you access a WMS Service in MapInfo Pro, Pro will dynamically request images for the extent of the map. This is done automatically everytime you zoom or pan your map. The fetched image isn't stored as an image on disk.
A WFS Service, Web Feature Service, returns a dataset with vector features. This can either be the entire dataset from the server or a limited set of records, either limited by a geographical extent or via attribute conditions.
When requesting data from a WFS Servvice, MapInfo Pro stores the data fetched from the service in a local WFS table which basically is a native tab file that however knows what WFS Service it's "connected" to.
MapInfo Pro doesn't dynamically request new data from the WFS Service as you zoom and pan in your map. You will have to do this manually if required. MapInfo Pro can however use the current map extent when requesting data from the WFS Service.