Depends on what you're used to. If you come from an area that's usually quiet 24/7, then you'll probably find it disruptive to live close to a rec center. If you grew up in the 'burbs near a YMCA or your local suburban rec center/community center, it probably wouldn't be too much of a big deal, other than the sound of older gas golf carts, which can be noisy.
If you're from the city, it probably wouldn't bother you at all and in fact, you'd probably find the daylight noise to be comforting, and the silence from around 9pm til around 7am to be unnerving.
The sound of horseshoes takes a little getting used to if you live a house or three away from the courts.
I used to live next door to an active fire department and I got used to the sound of the siren. I also lived in front of a senior housing apartment complex, which would get ambulances and fire trucks there at least three times every week. They'd turn their sirens off when they got to the corner of my house and the driveway to the complex. It stopped being jarring after the first year, and eventually we settled into "acceptance" of the sound.
I think the sound of the pickleball courts would likely bother me more than anything else. That'd be like Chinese water torture, that ping ping ping non-stop in my ears for hours on end. A suggestion for that - if the side wall of the house and garage faces the courts, don't worry about it. If the lanai or your bedroom window face it, it might be a problem.
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