Wow - there's a definite theme to them, isn't there...
In general though I don't mind the avatars, normally I leave them on.
I find they help a little bit with remembering action: "the donkey on the other side of the table is playing like this, and the smoking granny is playing like that", for example. Without the avatars, they'd just be two names and chip stacks. I'd probably still pick up the patterns, but I feel like the avatars help me retain the information quicker.