Understood, but you have to quantify it and not just conclude that it is not "out of the question". Using a very small sample size of this past weekend, I count 5 games that were tied at half and 1 game that went to OT out of 49 total games. (Note, the 1 game that went to OT was not tied at half and the 5 that were tied at half did not go to OT).
1/49 = 2.04%
5/49 = 10.2%
Probability of both occurring = 0.0204 x 0.102 = 0.0021 (or 0.21%). That means you would expect to see this once in every ~480 games. There is probably some small correlation to both happening, so that the probability of OT is a little higher if the game is tied at half. So, maybe it's more like 1 in every 400 to 425 games. Yes, it seems likely that the odds are off and it is a good bet. However, are you willing to make this wager hundreds of times before you get a payoff? At $5 per bet, that could easily take $1000+ of bankroll to hit. If you are comfortable with that, go for it.