Yep. Understood.
Two points:
First, I would argue that in this case, the pool of robots are not "using" the shared data at all. Each having instantaneous access to the entire data set, for all intents and purposes, there is no difference between one robot or another. All the robot does is collect data, not make use of it.
Second, I'm assuming that there is a purpose for the data set that the robots collect. If this data goes beyond the scope of those robots, it immediately reverts to a subjective set [by virtue of being used].
If, alternatively, the data is solely accessed by the robots, then it is of no use at all. Moreover, at best, all this represents [to the robots, who alone have access] is a solipsistic reality. Ergo, objectivity goes out the door....
...just thinking out loud here....