4000 feet is plenty of runway to come in fast, burn it off, and land.
Now if it were 2000 feet with trees, it'd be tougher I think.
It should not make any difference. Really. Try it some time (perhaps with a CFI).
In my experience, the only people who think it is difficult is those who have never done it.
I'll describe my first time. It was a checkout in a Tiger. For those unfamiliar, the Tiger is known as a particularly slippery airplane - its wing was designed by LoPresti, the same guy who designed the Mooney wing. Like the Mooney, it's one of those airplanes really needs to be on the proper airspeed for a good landing. Floating long is a problem area in transitions.
Like the make/model, the airport itself was new-to-me. The very first time I'd been there.
We went to the practice area for maneuvers and another airport where I did one landing. Then returned for some touch & goes. After two landings, on downwind, my CFI took out his newspaper, unfolded it, and covered the panel. When I gave him my best WTF look, he just smiled.
So I continued. Incremental reduction of airspeed and deployment of flaps abeam, on base, and on final. Same power settings as the 3 other landings. Same view out the front window (known as the visual attitude indicator).
On short final, stabilized, just before the flare, he said, "Let's take a look" and pulled the newspaper away to see how close I came to target. On-airspeed, no different than if I had a full panel of instruments.
It wasn't me being particularly good. I've been doing it to students ever since. Pre-solo student pilots. Experience pilots doing flight reviews. Transition training. So far, every one of them has been on-airspeed when uncovering the ASI on short final.