3. In my modern ICCF database, white's 2.e5 has performed an astoundingly awful 28% to black's 72% success rate. I'd say that pretty much qualifies it as a weak move, if not a stupid one as well.
The above seems worth emphasizing. It also dovetails with @Ponz's initial contention.
Black is a tempo up in a fairly well understood line of the caro-kann, which is sufficient for equality. It's pretty well known and understood already.
Black also has the option of just transposing into a favorable french advance, which is also about equal.
Why is this thread going on for five pages?
Because often times novice players will form an opinion about an offbeat move as being 'perfectly playable' and refuse to believe the strategy behind opening formations makes a given move 'weak' based purely on the strategical merits of it. They think opening play is nothing but concrete tactical memorization, so if a given move is rare and doesn't fall for a forced tactic, then it must be sound and playable. An analogy about an ardent belief in such moves is that the light bulb hasn't been turned on yet.
+10, a compelling proposition. Thanks for the insight, @FirebrandX.