That's a discussion about word semantics that has no relation to biology. Biologists have been occupied with it for centuries, just like computer people have lost time on "what's intelligence?", but neither one is relevant for either field.
> Are they bacteria?
Once upon a time, their ancestors were. I do not know exactly where biologists trace the line, but this is also about word semantics. It's just a case of it that helps people communicate better, so there is a line, I just don't know what it is.
What do you mean by "alive?" Because of course they are alive, regardless of whether you consider them bacteria or not. There is a strange definition of "alive" that is being used by you and the author article that I'm not understanding.
If a mitochondria is not "alive," then is it dead? Even if it is taking part in an active, living cell?
... hundreds of years ago, for a short time after they were discovered.
We know that they behave like bacteria for almost as long as we know that they exist.