It's hard to untangle this question, because we are talking about four factors that affect throw: having a big flat floor under an L1 (as opposed to no floor at all), the obstruction caused by a lot of people, raising the L1 above the floor, and "lowering the floor only out where the audience is" to make an elevated stage. What is confusing is that the answer about throw distance depends on which combinations of these effects we mean to include. I think there is a way to step through this in a sequence that will give a useful answer for all the combinations encountered in practice.
Start with an L1 suspended in mid-air. Call its throw distance the "bare L1 throw". (I know, we don't encounter this, but it's a reference condition.)
Now put the L1 on a big, flat, hard, empty floor. As Ken said, the new throw distance will be four times the bare L1 throw.
Now add a dense mass of people on the floor. (Popular, aren't you! They must love you and your Bose sound.) They block virtually all the sound reflected from the floor (taking the floor effect out of the picture) AND they block some of the direct radiation from the L1. So the real throw distance now becomes less than the bare L1 throw, possibly far less. Call this the "obstructed throw". Most of us have experienced this at one time or another, unless you're never popular.

Now raise the L1 above the floor. The actual throw distance improves as the L1 gets above the obstruction of all those people. If you hypothetically raised the L1 'way up in the air, you would get back to the bare L1 throw, but you won't actually raise it that high because the "sound layer" would go over everyone's heads and they would all hear muffled sound. So the throw you get by raising the L1 is farther than the obstructed throw, but not as far as the bare L1 throw. Notice that the floor effect is not a factor in your decision, because all those people are obstructing the floor anyway.
Now, with the L1 elevated, take away the people. What throw do you get? Who cares--put that L1 down, you no longer have a reason to elevate it. (Gotcha!) This trick allows me to avoid having to admit, "I don't exactly know". (Oh, I just did, didn't I. Never mind.)
Let's go back to the case where the L1 is elevated and you are so popular that the place is packed with people. Remember that the throw distance was between the obstructed throw (short) and the bare L1 throw (medium). Now quick, imagine a stage that elevates you up to where the L1 is. People see you better, but do they hear any difference? Basically, no. (I'll explain why in the next paragraph.) So you get the same throw as when only the L1 was elevated, some distance between the obstructed throw and the bare L1 throw. For the audience's ears, the elevated stage is the same as the elevated L1. But they do see you better.
So, why doesn't the stage sound different from just elevating the L1s? Well, as Ken said, you have to imagine the floor as a mirror. If the stage floor were a mirror, how much of the L1 image could the audience see in the floor of the stage? Typically very little. Most of the image is cut off by the edge of the stage. Since they can't see most of the L1 image, that image has little effect on the sound they hear. So, if the stage could be magically removed, leaving the L1s and performers floating, those in the audience would hear very little difference in the sound of the L1. (The bass would change, but we're not talking about that.)
I think that covers the bases. In summary, the only time you really get the 4x longer throw from the floor reflection is when the floor within 50 feet or so of the L1 is hard, flat, and sparsely populated, as it is in some extensive outdoor events. And you need the extra throw for sprawling events like that. When the floor is densely packed, elevating the L1s improves the throw, whether the means of elevation also raises the performers (i.e., a stage) or not.
If I don't mention it, someone will ask about the intermediate case where the density of people is moderate. As always, let your ears be your guide. If it sounds muffled in back, you have an obstruction problem and elevation will usually help. But I must remind you that safety has to come before sound quality. When you say you "killed the audience", we don't want that to be literally true. Be careful.
Hope this is useful.
Chris