[glow=red]Yes It does
However, as can be seen from the screenshot Somes posted, the HM (Flash) has a "grey-ish" color.
Some of the beginners might think of it as...let's say...steel?
Based on my personal experience, when I obtained the HM Flash for the first time (as a beginner), I thought that it is an electric type move (based on the name "Flash")
Therefore, I agree with Somes that the types should be mentioned, making it way more clear for the beginners.[/glow]