In a perfect world, Yes, your plane will correct itself.

But then...

In a PERFECT world...

Your airplane would always be trimmed out, even on the first flight.

Everyone would have their own frequency.

All engines would run on cheap fuel (and the fuel would feel good when you get it in a cut).

Batteries would be self-charging.

Balsa would be fuel-proof.

CA would not stick to skin.

Your wife would look like Brittany Spears and cook like Emeril Lagassi (not the other way around)

And your children would regard you as a hero, and respect everything you say.

(Anyone got any more?)