I didn't either!
Granted, I wasn't good at video games in general. And this one infuriated me, because I loved it. I could easily beat the first level, but then I crashed on carrier landing. This happened for years. I only ever saw the first level of this game.
Then one day, while staying at my elementary afterschool sitter's house, one of the kids there told me he played Top Gun as well. He could land, but wasn't very good at the rest of the game.
A plan was formed.
The next day, I brought the cartridge over, and we settled in. I'd play the level, then hand him the controller at which point he'd plant it on the deck. Rinse and Repeat. Top Gun and Top Gun: The Second Mission didn't have too many levels, (6 maybe?) and I don't think it took us too long to beat. Neither one of us had seen much of the game. But working together, we beat both in a matter of hours.
I still look back on that as one of the few NES games I finished without codes or a Game Genie, just the help of a friend. =D
The blog says that failing to land on the carrier didn't actually fail the mission. Maybe you're misremembering? I just remember this game being so frustrating that I never replayed it.