The spreadsheet does not show up well but in this example your draft picks would fall in the following order:
1, 20, 15, 10, 5, 24, 19, 14, 9, 4, 23, 18, 13, 8, 3, 22, 17, 12, 7, 2, 21, 16, 11, 6
not random, you draft around the same people each time, and eveyone gets a good mix of drafting positions.
I do though prefer the current method. I do agree if the cap were higher, the current method would not work well.