I guess people don't like mid-summer January because it makes historical comparisons more difficult. Not impossible, just awkward.
It's a horrible messy dilemma. Leap seconds don't seem as dramatic as the Roman intercalary days, but there's the same battle between synchronicity and simplicity (where simplicity = something short of insane perturbations).
Maybe none of this matters for radio broadcast time signals. Maybe you just want a fixed counter everyone's synchronizing to, and people should convert to the Earth's messy system at the last possible moment.
Fun story about the awesome 13 month Calendar that we could have adopted (except for Hitler): http://99percentinvisible.org/episode/the-calendar/
http://www.livescience.com/38083-earth-core-day-length-patte...
http://www.scientificamerican.com/article/earth-rotation-sum...
http://news.nationalgeographic.com/news/2011/03/110316-japan...