Output at Runeword creation

[Roo]

Heard a rumor that when creating the Call to Arms runeword the selection of 'plus to skills' might not be a uniform distribution. I would guess this is another baseless rumor when someone got less that optimal mods on a runeword, but it brings to mind the following questions:

Does ilvl on the input have any influence on runeword output?
Do the cube recipes for socketing normal items change the ilvl of the item?

I have not seen any discussion on how the game chooses a specific value for an afflix on an item and what can influence it, if anything.

Thanks