There are some people who are not too familiar with the differences between FET and MOSFET. FET means Field Electric Transistor. A MOSFET is a type of FET. This stands for Metal Oxide Semiconductor Field Effect Transistor. A lot of people who use this often may call common things that are not actually MOSFETS as MOSFETS.
A lot of people say that there are not a lot of differences between the two anyway so the terms are a bit interchangeable. The modes that they can be used may be a bit different. The FET will only work in depletion mode but the MOSFET will work in both depletion and enhancement mode.