With all due respect, Martin Fowler's opinion on this matters a lot less than those of the people you're actually working with. There are many advantages to exposing your data this way, particularly performance and transactional integrity advantages, that are extremely difficult (and sometimes impossible) to recover otherwise; and like I said, there is no inherent reason why presenting an abstract contract as a view needs to make evolving your codebase any harder than presenting one as a REST API (or whatever your other preferred choice is). It "ties you to the database you're using" only in the sense that anything you don't expose through the database won't enjoy the same performance optimizations and transactional consistency, which would be the case anyway if you used a second database.
The scenario presented on the website (a separate organization controlling the database schema and application developers having to negotiate with them to get what they want in) is not what I'm proposing here anyway, and seems to be deliberately conflating the use of the database as an API and some sort of organizational pattern that is mostly orthogonal to that. There is no reason applications can't have their own private schemas that are managed by the application developers, who then choose what data to expose as public (and what as private), while still sharing a database with other developers. And for applications where database operations are particularly performance sensitive or safety critical, there's also no reason why not exposing your schema to other applications implies that application developers are allowed to have full control over it. I've been in organizations at various points in time that do both of these things.
Of course, there may be other restrictions that make this a bad idea (such as security restrictions that for whatever reason can't be enforced within the database), but for consumption for BI processes this is not really applicable anyway.