FizzBuzz test is actually pretty great interview question, but most interviewers miss one crucial ingredient: time pressure. Original idea was that any competent programmer should be able to solve it in under 1 minute (only limiting factor being your own writing/typing speed). It is a good indicator of familiarity with the basic programming constructs (loops, conditionals, print statements). It's like writing down the alphabet - you should be able to do that without thinking. I have seen many developers who fail to do that.
> I have seen many developers who fail to do that.
How do they happen to be developers then? Doesn't being unable to implement a FizzBuzz quickly imply they can't code anything that is more complex, by definition?
By the way although I do understand programming (OOP, FP, SQL) and can develop a considerably complex app from scratch in an IDE like Visual Studio with ReSharper or IntelliJ Idea that would expand code snippets, offer auto-completion and highlight errors on the fly I doubt I can code anything more complex than a "hello world" using just Notepad and expect it to compile and run without errors immediately - I use to make small typos and miss some syntactical elements all the time thanks to my ADHD (but modern IDEs solve this problem). Also, a person standing behind my shoulder watching me code and counting time would decrease my performance by an order of magnitude at best. Does this count as a failure from your point of view?
I will highlight the most glaring problem I find in your take.
> FizzBuzz test is actually pretty great interview question [...] you should be able to do that without thinking
If you are going to code for me, I'm not interested in what you can do in 1 minute, I'm interested in what you can do in 1 year. I want you to spend more than 1 minute just thinking about any problem that is remotely worth solving. And that's the underlying problem: FizzBuzz is not representative of the problems I hire you to solve, and solving it fast is not representative of the approach I want you to take for solving the problems I hire you to solve.
FizzBuzz can be a reasonable point to start a conversation about approaches and style. But that's true of almost any piece of code - I used strcmp() for a number of years.
If you are not able to write FizBizz without thinking that means that you've probably written no more than a handful of for loops and if statements in your whole programming "career". That's a very bad indicator for someone who applies for a programming job.
