Just to share the info as I understand it for Theravada (noting that my training monastery didn’t have an anjali policy). Some of the time, chest level anjali isn’t really “enough” for religious situations (very high respect level)…both for the monastic and lay community.
For the Buddha vandana/extra devotion, some will start from forehead level anjali for vandana e.g. 5 point prostration. In Sri Lanka, this can become a very high above the head arms raising…you see this thing a lot for ordinations.
Monastics (or in my case, the senior monastics) can also get face-level anjali At least for formal vandana going into 5 point prostration etc.
If we are on the run & want to worship a senior monastic, there are different ways…also crouching bow, not only five point.
Outside of formal vandana, people will still use normal chest level anjali for chanting, normal use, less formal situation etc.
I have never seen throat anjali in Theravada.