Methods for quantifying state change in phylogeny- consistency index

Question

[Wilber0x]

I have a cladogram, and I have mapped character states of different taxa onto it.

It seems that the most common indices used to measure homoplasy are still the consistency index and retention index. I am curious as to whether there are any other methods I should be looking at, and why consistency index is more common over Homoplasy Excess Ratio test.