If you are sharing facts like "Wisconsin falls are more deadly than Alabama falls", then you need to address the more obvious hypotheses that are conjured in the readers head.
I found no mention of "ice" or "slippery", and instead the article blazed forward with its preferred explanation without providing evidence to dismiss the more obvious hypotheses.
>Another state-level predictor of accidental fall death rates is wintry weather: eight of the 10 states with the highest age-adjusted rates are notably snowy.
>Wisconsin, Maine, Vermont, Minnesota, Rhode Island, Iowa, New Hampshire, and South Dakota. The two states in the top 10 that are not notably snowy are Oklahoma and Oregon.
Presumably because the Wisconsin-vs-Alabama differences have not significantly changed in the last few decades? Wisconsin has been a lot snowier than Alabama for a long time.
What's possibly more relevant is that Wisconsin has unusually high rates of alcohol abuse. Their high rate of fall-related deaths may be better understood as a high rate of alcohol-related deaths which involve falls.