
I haven't noticed mine is any worse than real grass in the ice/snow. I've had it down for I think 6 winters now and the dogs still play on it, I have sighthounds too. Is the AG in your local park more like astroturf or like the artificial grass I would recommend for house garden, with individual fronds of 'grass'?
The one thing I have noticed is that it does seem to hold onto the ice longer, ice and snow melts off the paving slabs much sooner than it does off the artificial grass.