I don't speak (type, whatever) different things when inebriated than when sober.

There are many people who do, however. So I stand behind my point.

Alcohol makes people slower, but can't transform Dr. Banner into the Hulk or vice versa.

Yes, it can, and I have much, much personal experience with numerous people who like to drink to back this up. For a good celebrity example, you need to peruse the life history of the late British actor Oliver Reed.

And I have nearly always found suspicious when someone says "I was drunk" as justification for something they decide to disown when sober. I know I type worse, but other than that I say the same things.

That holds true as you continue to speak for yourself on this matter, and not for all others.

Now, depression, anger, and other feelings, especially negative feelings... that's another story. They sure can make me say things I don't mean or say aggressively and confrontationally things that I would usually mean to be constructive. Sober. Or drunk. That part is not relevant.

Alcohol can have a very strong effect on one's emotional state, causing them to "act out" in ways they would be much less likely to do when sober, unless angered in the extreme or pushed to the limit. I have been drunk before in ages past, and I remember how my emotions got the best of me then.