tip: avoid using words such as "illusion" and things like these in this forum [or even better in your life]. It only sells to pop-sci or philosophers...and none is a science.
OK, Let me change the process to something else, to leave the (unnecessary) overcomplexification you introduced:
the Z boson can decay to fermions: Z \rightarrow q\bar{q}, Z \rightarrow e\bar{e}, Z \rightarrow \mu\bar{\mu}, Z \rightarrow \tau \bar{\tau},Z \rightarrow \nu\bar{\nu} (patterns). That comes from theory... now if you take 1 Z boson, it's impossible to tell into what it will decay. That's because the decay is a random process. There is nothing different between a Z boson that decays to electrons to a Z boson that decays to muons. What you can talk about is the probability that it might decay into one or the other. By the time you put "probability" into discussion, you can only talk for large samples...
Similarily the production of the Z boson is probabilistic... in some collisions you might get a Z boson, in some others you might get a photon, in others [...] and the list goes on ... That's why we use production cross sections (or even measure them). If we could tune what to obtain just by changing the condition of our experiment, we would do that and we wouldn't have to deal with all the other backgrounds that come in the game.