It came from the factory with non-slid... sounds like it is time to re-finish.
That said, mine, and most boats don't have non-skid to the very edge of steps, but instead have a band of smooth approximately 0.5" - 0.75" wide. So, we instruct all to take their time on the steps to ensure that their foot is well set in the non-skid areas. (As I understand, they keep the non-skid back from the edge and don't attempt to lap over the edge as it is apt to get worn and quickly start to peel off. Others here with more knowledge can elaborate on why the edges aren't treated with non-skid).
I have seen 390's with teak treads - which are nice and solve the problem of skiing down the step edges.