No, what kills you is that you had committed to a poor thought process using considerations that don't apply to ME flying. While in this circumstance it leads to an acceptable conclusion, it does so for the wrong reason which if used in other circumstance will kill you.
I think we're having a communication problem here (surprised?).
Let's see if we can turn this into a useful discussion rather than an argument. That will be my attempt, anyway.
First off, Henning is right that a safe outcome does not necessarily mean that the "right" decision was made. For example: someone I know flew a 182, intentionally, on a flight that left him with about 15 minutes of fuel left into an airport that was OVC006, and built up about 2" of ice in the process. He knew there was icing, he knew the TAFs. He landed safely, no damage was done to him or the plane. It was not a good decision to make the flight for a number of reasons, including the fact that I was flying an empty FIKI Navajo to the same airport and he could have come with me...
It is established that there are different types of takeoffs. This is why we are taught short and soft field takeoffs and landings in addition to "normal". So really, there isn't much of a "normal" so much as varying types. What you're describing with the 11,000 ft runway I'd consider a "long field" takeoff, so add that to the list.
On anything from short field to normal (for most piston twins, let's say 5000 ft or less), once I've established that the plane is solidly in the air and flying with a positive rate established (i.e. I'm not worried about some gust of wind changing my lift and running me back into the ground) I pull the gear up. Once the gear is up, my hands are over to the props, same as you, and I fly away, ready to cage an engine that fails. From this point forward, the plan is to fly away.
On a long field takeoff, I'll keep the gear down a bit longer, because if I lose an engine, I don't want to have to call the insurance company, and my brakes work very effectively at stopping. Plus I'll be able to keep steering the plane. I'm still going slow, I can easily pull both back, point the nose at the ground, and come to a stop. If I run off the end of the runway, then, well, I'm at least no worse off than bellying in the plane. Meanwhile, I'll stay low to the ground, getting me accelerated towards blue line as quickly as possible.
Now, let's look at the advantages of pulling the gear up. Yes, you will accelerate marginally faster to blue line. But since in the case of the long field takeoff, that extra exposure is offset by a better option in case of the engine failing.
In the Navajo, if I'm heavy on a hot day and I lose an engine, even after the gear is up, I'll be in a heaping world of ****. If I have a long runway, you better believe I'm going to land the plane back on it, and both the owner and I will be a lot happier if it's in one piece.
ME isn't only about learning the physical differences in flying, it's also how we need to consider those differences and quirks in our operating process.
I agree. But it doesn't mean that one answer fits all situations.
In an emergency situation where you are going fast looking at the end, your belly is where you want to be, that's a hell of a good brake that is relatively easy to fix if desired.
In that situation, you're in a world of **** no matter what. I'm going to follow my decision matrix. Gear up, I'm flying away. And if I hit the trees, it just wasn't my day.