Yes, all those types of projects are crypto projects.
I think mass adoption will happen by itself without any crypto projects that need to work together. Every project in the crypto will promote their project to the public so people will see and know that there is a crypto project that can be their investment in the long term. If one or more project can get their success, people will see that crypto can give the opportunity for them to make money. They will see that crypto is a new type of investment on the internet, which can be their way of making money besides the other investment type.
Yes, this will happen exactly as you write. Each cryptocurrency will promote its services for use in any area. But all of them together will perform one task - the promotion of cryptocurrency for mass use. But the main task will have to be performed for the introduction of bitcoin and Ethereum.