Not to lead you astray but, yes, a saute is a sissonne stage form, to a Russian, taught in the 2nd year of study. It is only done in 1st arabesque at 90 degrees with supporting arm in 3rd allonge and the working arm in 2nd allonge.
As for tir bouchon, a character dancer/teacher may not not know this academic term for this movement. The usage I have described is one taught at first in the 4th year of study but as the students progress (on to other teachers, remember the upper level teachers tend to be the more celebrated teachers who have not studied methodology, therefore the term could possibly retain its usage from generations ago) the term is used interchangably with the other described movements. The placement of the toes at the side of the knee while turning is of great importance. It is used when turning from pose to pose, it is also referred to many times in various other movements which seem to be more of the attitude front at 45 and 90 degrees in the upper classes. Remember there is no such thing as attitude front in the Vaganova school. I do not want to start a debate, just to remind those who have interest. Tir bouchon is also used(this I learned in the US from a non-Russian) standing enface, developpe right leg side onto demi-pointe (or not), turning en dehors or endans, overcross the working leg front /back at the height of the knee while swiveling around in a deep demi-plie with the body inclined at first toward the knee side ways, 1/2 turn and then away from the knee sideways 1/2 turn. The turn finishes on demi pointe in a big pose. It also can be done from any pose to any pose (this I learned in Russia).
Maybe what is most important is that we all learn and accept the different terms and their usages. Students need to know them all and remain open minded to whatever changes they must make.

Actually I should add that to the list of reasons why I enjoy Ballet Talk so much!