Actually, I believe YOU do need to do an in depth analysis.
What I got out of that is as follows:
power metal: higher pitches, bright tone, fast chord progression, reminds (me) a bit of Bohemian Rhapsody
black metal: heavy on the midrange, dirty tone, slow chord progression with lots of repetition of the same chord
death metal: heavy on the bass, chords are less thickly layerd than black metal, otherwise seems essentially the same, tone is slightly cleaner
Furthermore, aside from some particulars of tone quality these examples lead me to qualify Children of Bodom as DEFINITELY BLACK METAL. granted, they do sometimes thin out the midrange, but they also tend to keep things thickly layered, and yah the chord progressions are generally a bit faster, but frequently repeated exactly
Here is a qualifying question for you: In what genre do you place Alcatrazz? 'cuz I'm pretty sure Bodom should fall into the same category.