Probably not unpopular with all riders just those who have less skills in this area (Remco being the obvious example from the top guys in this years tour). I am a believer that the top guys should be tested in all areas though and not just with mountain top finishes or time trails where VO2 capacity is the overriding factor in winning.
I also watch a lot of the downhill mountain biking world cup where this is always a factor, the athletes need to make the decision of how much they ride within themselves or if they go 100% (or over this in some cases) and just try and hang on. At the end of the day these are professional athletes and risk taking is part of it, this could be extreme diets or training methods that are less obvious or it could just be the amount of risk they are prepared to take by braking later and harder than the others.
Of course organsiers should be trying to mitigate the risk of athlete injury (padding, signage, barriers without footings, route books with enough detail, manditory safety gear such as helmets, etc) however i think everyone understands that there will always be some level of inherent in built risk in a sport where the aim is to get to the finish line as fast as possible.