I don't think Bitcoin is the currency of the robot world. On the contrary, Bitcoin is meant to be used by ordinary people. It solves the problems of individuals in relation to their savings and transfers of funds without the involvement of third parties, so BTC acts like a coin when paying for goods and services.
As you said, a bit is the smallest unit of information. Yes, you're right at this point. Bitcoin is a peer-to-peer system that uses a public ledger which is a decentralized database. Everyone knows that databases contain information.
Thus, we have "bit" and "coin". In my opinion, this is the best name for any cryptocurrency. Thanks to Satoshi Nakamoto for inventing such an euphonious word.