Dice odds

I read about 5 dice that can fairly determine who goes first with one roll, no rerolls. Apparently, mathematicians needed 60-sided dice.

For 2 dice:

D1: 1,1,4,4

D2: 2,2,3,3

Each wins 50%.

I think I found a simple 5-dice solution:

D1: 1,10,14,17

D2: 2,9,15,16

D3: 3,8,13,18

D4: 4,7,11,20

D5: 5,6,12,19

Each totals 42, and every pair has 8 winning outcomes.

D1 vs D5:

D1: 1(0),10(2),14(3),17(3)=8

D5: 5(1),6(1),12(2),19(4)=8

They seem balanced. This feels WAY too easy compared with the 60-sided solution. What am I missing?