What protease is in avocado?
The culinary impact of proteases are to tenderize meat and that, if uncooked, they will prevent gelatin from setting.

I have not heard of, and was unable to find, any recipe using avocados for meat tenderization.
I was easily able to find many recipes that use fresh avocado with gelatin.

Therefore, I don't believe avocados contain any proteases that are of culinary concern.