I would like a bit of clarification also.
Every time I've heard similar statements in the past there are either defined rules or implied agreements between parties.
I have seen some pretty intense randori in the Aikikai context even to the point of declining. Entering the ring (so to speak) as a stranger usually means someone gets hurt.
I remember the last time I did randori in an Aikikai dojo I didn't dare do half the stuff that I would try in the Shodokan context even though I was assured that it would be no problem.