I sure don't know where the response that a recurve is quieter than a modern compound comes from. I have both and can tell you, my matthews shooting a 525 grain arrow is as quiet or quieter than any recurve I have. And my recurves are not loud because I am a quiet bow freak.
Here is how it works because I have had about 20 deer I filmed or had filmed shot on tape. With most bows that have had attention paid to them to quieten them, whether compound or recurves, will be quiet enough to not bother unalarmed animals. But string jumping can occur even if your bow is quiet but it usually only happens on animals that are close, say 15 yards or less. Any farther away and the noise is simply not enough to get them moving giving them the head start on your arrow.
On unalarmed animals farther away, they typically do not react to the string at all. The reaction you see on film is only to the arrow. This is true of all bows and arrows that are quiet. So the key is to shoot a quiet fletch and make sure your broadheads do not whistle. Because once again, if you getting them moving due to excessive arrow noise to soon, they are going to beat you everytime, regardless of your weapon.
SO in escence, the deer will not jump the string any more with a recurve than with a compound, or vice versa unless they are wired up. If they are wired up, a heat seeking missle won't matter because they will get the head start on it. Our videos show that unalarmed deer flinch like they have a fly on their back when the string drops, meaning their skin will flinch. Often times coming to alert or in the process of doing so when they finally pick up on the noise of the arrow. Which equals dead deer everytime because the arrow is close and closing even faster.
However, if they are alarmed when the string drops they simply come unglued. They just react with no hesitation, and that usually equals a unharmed deer and a disgusted and amazed bowhunter, regardless of weapon.
So the key is to quieten the bow as much as possible, shoot fletching that isn't ripped, missing feathers, or otherwise inheritantly noisy. Make sure your broadheds are quiet in flight, and shoot at unalarmed animals. And this is the most important. when they are close, say under 20 yards, pick your spot low in the chest cavity because this is often where they jump string most. The rest of it is only arrow reaction.
Do all these and your deer jumping string days will nearly be over. However, you will occasionally meet the animal that decides tyour streak has simply went to long, and they will humble you again. but at least not very often. Good luck and God Bless