The key point here isn't that the church has some profound lesson to teach to companies, but that--in our current global system--the church and a company play are now forced to play by the same rules. The church has existed for thousands of years because of central role it played in the functioning of the political and economic systems of its time. The changes we have seen in the last generation aren't the result of some essential adaptability in the church's structure, but a reaction to it's increasing irrelevancy to global life. Like any well-run company, the church saw a future it did not like and chose to pivot.
If there's a useful lesson to take from this, it's not that we should emulate the church, but that, in today's world, all organizations need to be ready and willing to totally reinvent themselves on a moment's notice.