I agree there's not much confusion now.
But imagine developing upon a protocol called the Dollar and you spend dollars. It'll become a more confusing term in the future if bitcoin ever becomes a mainstream currency. The blockchain is MORE than just a currency.
I want to create contracts, social media, and various apps (anything that needs ownership) using this ledger/consensus technology. The actual world-changing protocol should not have the same name as the currency that stems from it.
Just my $.02
The problem is that Bitcoin was designed as a currency, nothing more. Yes, the concept of the blockchain is a great invention that can be used for smart contracts and the like, but the blockchain used by Bitcoin was meant to log currency transactions.
It's cool that people are using Bitcoin's blockchain for things such as
Proof of existence, but I think an independent (i.e. not Bitcoin's) blockchain should be ideal for these kind of projects.
Why would you want to use a separate blockchain when you have an existing, extensible technology? All these kind of "projects" will give bitcoin more worth and intrinsic value.
Use the existing blockchain for EVERYTHING - it makes it more powerful actually if everyone is involved with everything.