For some items, such as bath towels or throw rugs, I toss them into the dryer for a no-heat air fluff of 10 to 20 minutes after line drying. It does a good job of softening normally stiff line-dried items. Not quite as soft as doing the entire drying job in the dryer, but close.
Of course, here in California it's prime line-drying time from April to December. Little to no rain, lots of sunny days. Quite often I can put a load out on the line when I get home from work and it will be dry by the time it gets dark. This way it doesn't get faded from too much sun.
The only other hitch is that periodically during the year, depending on prevailing winds and market conditions, the local chocolate factory (I think) does a cocoa bean roast the releases a fair amount of particulates. These land on any cars that I might have exposed as little tan squiggles. And on any light colored items on the line as orange-tan splotches. One of these days I'm gonna have to collect enough of the squiggles to have them analyzed to see if they are cocoa-based and then ask the chocolate factory to respond. A taste test might be in the works, lol.