Why do your icons move around so much? I've added or removed applications from my iPhone and the only limitation I see is that they have to be in a grid with no empty spaces between them. Otherwise the same application icons are in the same place, every day, year after year.

Do you have a screen shot that could illustrate what it is you want to be able to do?

Man... I don't know what's so hard to understand. You put icons on your desktop anywhere you want all the time, don't you?

They're not all stacked up starting at the left corner, are they?

Imagine that all I want is three icons on my home screen, all lined up on the right edge of the screen, where they are easy to reach by my thumb.

You can't do that on iOS.

To answer your question: No, I do not, ever. I don't want shit all over my desktop. I have them auto-arranged in a grid. On Windows they start on the left, on Mac they start on the right. So when I (for example) take a screen shot and it gets deposited on the desktop, I know where it's going to be.

But now that you finally gave a concrete example of what you want to do, I can at least picture it.