Bitcoin is only a name. The name does not make sense but the technology behinds Bitcoin, Blockchain technology is very important.
The name does make sense, since Bitcoin is a digital currency, naming it Bitcoins matches its nature. Aside from the explanation given by @Mate2237, we all know "bit" is a term that has something to do with computing, and Bitcoin is produced by computing or solving blocks if I am not mistaken. The name Bitcoin is not something that came out accidentally. Satoshi has the reason why Bitcoin is named Bitcoin.
Make sense, and I think even if not Bitcoin is the name of Bitcoin right now, people will still consider it a good name or people will still accept it, for example, "ByteCoin", "BlockCoin", "ChainCoin", etc.
It will really not matter at all for sure. People just became used to being the name "Bitcoin" right now.
I'm sure that besides Bitcoin, there are still a lot of candidate names from Satoshi to be the name of Bitcoin instead.