However, this was not how Morihei Ueshiba did things.
I think that this is pretty much how he did things, have a look at this http://www.youtube.com/watch?v=-wewCJLban8
( it even has AIKI in its name ).
For your statement to be correct a typical demonstration by the Founder would consist of him not moving at all
and ukes rushing and bouncing off him. This is not the case in this video and not in the majority of others. There are some videos of "push tests" such as http://www.youtube.com/watch?v=XoDK3...00m42s#t=0m42s
but they are easily countable minority rather then "endless and repetitive and common".