Far Infrared is much more specific. If THz is really that desired on the title, calling it low band THz would probably be better.
This part of the spectrum has previously been lumped into the "far infrared", and sometimes called "submillimeter waves", and in the old old days was called "mega-mega cycles". The reason that there is so much confusion about the terminology to describe this spectral range is that it lies outside of the purview of both optics people and RF engineers. It is the "in between" region, which until recently was unfamiliar to most scientists. So there has been a lot of borrowing terms from different communities going on, and these communities have often not coordinated with each other. It's a bit of a mess, but we live with it.
Also, there are many low THz applications but nature doesn't make it easy to work with.