I'm not sure that is analogous. The chicken/egg question is about at what point we started identifying an egg as being a chicken egg as opposed to being an egg from another animal. In other words, did the first chicken egg come from a chicken (meaning the chicken came first), or from a proto-chicken (meaning the egg came first)?
A closer variation might be: Which came first, the radio broadcast or the radio broadcaster? Before the radio broadcast and radio broadcaster there was radio and people using radio, but they did not reach a wide public audience. At some point the early small-scale experimental radio use turned into broad utilization, but when and which was earlier on the timeline?