I’ve never really understood this argument. The history of browsers shows that a browser choice screen isn’t necessary. IE used to be dominant until it started sucking so much that people looked for alternatives. For a while that alternative was Firefox, then Chrome came along and people moved to that.
I think the problem for alternate browsers on PC is that all browsers are good enough at the things most people care about that they don’t look at alternatives anymore. Most pre-built computers come with Chrome pre-installed and if it isn’t, people seek it out on their own to download it. More savvy users know about Chrome’s issues, but those aren’t issues users really care about.
What does need to be addressed is how iOS and Windows either don’t really allow you to use another browser, or make it difficult to switch. iOS needs to allow other rendering engines so alternative browsers aren’t just a skin over Safari and Windows needs to stop with preventing users from changing the default browser for things like widgets.