What about range trader for example. If risk awerse trader, he or she will stay away in trending markets and trade fully in ranging market. So obviously there will be lack of consistency regards number of trades.
As market changes so does consistency to some degree.
So another example, one is trading certain levels only. Trader can be very consistent with executing the strategy, but he won't be consistent with duration of the trade, time of execution (morning, midday, night) as also regards pips.
We can simplify consistency as it is now, wich can give some valuable insight, we can also add some new calculations (again it will be another simplified version) but it will never show the whole picture.
My favorite consistency to watch is actually LA + daily drawdowns especially for daytrading style. How is trader managing situation when things are not so rosy.