I'm a big believer in the idea that motivation trumps all other considerations when it comes to exercise though, so you should run if you like running.
and if you do road biking, depending on location, you are at mercy of car drivers on narrow roads. even if 99,9% are good and paying attention all the time, sooner or later someone won't. if you do other types of biking, there are other safety issues.
by all means do it if that's your thing, but don't call it super healthy, or safe. take 2 steps back - most of us sit on our a__es all days, so you go and do sport where you... sit on your a__. right.
So, the question of "is an alternative form of exercise, that has fewer damaging side effects, better?" is an important one to ask, and better would need to have a definition around it. However, answering that question wasn't the goal of this article.
Biking is my personal go-to exercise but it's not without its risks from traffic, pollution, or in the winter, black ice. Still, it's otherwise nonproductive commute time being made very useful.
It doesn't get below freezing where I live so I haven't had to contend with this personally, but when my friend lived in Boston and cycled throughout the winter, he got the Finnish studded snow tires for his bike:
http://www.icebike.org/the-ultimate-guide-to-winter-bike-tir...
He said it made him feel a lot safer. (That page mentions a concern that there are failure cases related to inappropriate tire pressure that may reduce traction compared to regular tires, but it seems like they normally increase traction by a huge amount.)