It's a bit squirrelly, sometimes it gets stuck, but seems to still keep count somewhere.
For example the Share icons for two of my games:
Pucked says: 179
Chicks says: 1026
In the arcade the counts are the opposite:
Pucked says: 5926
Chicks says: 269
(Orbital is off by 900)
My games in the Top list haven't changed position in months.
But we are all waiting on the new arcade that is currently in the works. So we haven't been concerned about it.