I prefer the latter because it puts emphasis on the blockchain technology ability to be use for change of ownership of digital or physical assets in a global and free market where even robotic machinery can be in charge of owning, maintaining and exchanging valuable assets.
Bitcoin and the block chain technology are the internet of ownership for he/she/it.
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While I agree that "Internet of ownership" is a more general term that more completely describes the possibilities when utilizing the Bitcoin blockchain, I do not prefer putting emphasis on "Blockchain technology". "Blockchain (Technology)" has become a buzz word that is preferentially used by the uninformed - namely bankers and similar imbeciles - who disregard Bitcoin and want to build private, centrally controlled blockchains.
It's perfectly ok to use the term "Internet of Money", because the monetary property of Bitcoin is the very foundation for any potential secondary use of the blockchain. The key innovation is decentralized money, which is enabled by using a fairly inefficient construct - the blockchain. Without the value that Bitcoin represents, none of the potential secondary applications using the blockchain would work, because they wouldn't be secured.
So in short the term "Internet of Money" describes the foundation (so to say the protocol) on which ownership registrations are made. For an analogy, websites couldn't work without the TCP protocol, and it would be grossly incorrect to say that the Internet is only websites.
ya.ya.yo!
