back in the 70's, Koichi Tohei-sensei taught a number of "standing" exercises. Most of them were holding postures with bokken, and ranged in duration from minutes to hours
They were intended to be done with "correct mind/body unification" so I think they do fit in the category you are talking about. I don't know if the addition of a weapon makes a difference.
In older school practice, there were standing exercises, holding postures for periods of time, but I hated them and have edited them out of my memory
More seriously, there were standing exercises in the early days of my practice. One in particular that we called jigatai, which involved standing in a straight backed stance, thighs parallel to the ground with arms extended. There was some teaching on the correct body feel and ground connection to do this right but much of it was just "suffer till you get it right".
Does that help answer your question?