Care to explain the advantage of using BTC0.128 over BTC0.1 to split and merge?

0.128/2 => 0.064/2 => 0.032/2 => 0.016/2 => 0.008/2 => 0.004/2 => 0.002/2 => 0.001

0.1/2 => 0.05/2 => 0.025/2 => 0.0125/2 => 0.00625/2 => 0.003125 => 0.0015625/2 => 0.00078125

Both works. No?