I would actually argue that the Bing Maps app is better than the HERE Maps app now, in WP8.1. This morning while getting ready for work (Des Moines, IA), I noticed that Bing Maps now has the bus routes available when looking for directions. So when I asked Cortana "what's the traffic like to work" she showed a map (I'm assuming it's Bing Maps not HERE), and when I clicked on the map i could change from driving to transit. VERY cool stuff.
Both HERE Maps and HERE Transit do not have any sort of bus route information for Iowa. Obviously larger cities in the US or other countries might not have this issue, but it's reassuring for someone in a smaller city.