The cycling directions in my town, for example, are great in the sense that they take you on only bike paths with little cars. However, they are often 25% longer than just taking the roads which also have bike lanes. I am comfortable biking on the roads so I prefer the roads, but others might not be. Which set of directions do you present? I guess you could have options for both like "most scenic" and "most direct". However, there will always be people complaining about routes being too roundabout or not safe enough because of preference differences.
I think with cycling sometimes its best to just use the bike directions as a starting off point and then explore from there. Hopefully you can be in a place for long enough to discover the routes that fit you best and stick to them. For me, thats actually a fun part of the activity.