In this video, it is said that the DF-5A/Bs are the only missile capable to covering the Continental U.S. entirely, so they remain in service. The original DF-5 entered service in 1986. The DF-5A is a upgraded version with an improved range of 13,000-15,000km. The DF-5B was first successfully tested in 2006 and incorporated MIRV technology.
I used Google Earth to measure the range of the 11,200km DF-31A. It seems like if the DF-31A is launched from Xinjiang or Manchuria, it is still capable of barely reaching Washington DC, so if China's nuclear doctrine is based on "minimal deterrence," the DF-31As and future DF-41s are credible enough. Also, since the DF-5s are deployed in Silos, they would be the first ones to be knocked out during a enemy counter-force strike (think about how accurate the Trident D-5s are). Therefore, I really don't see why the PLA needs to waste money on preserving and upgrading these DF-5s. Some 30-40 mobile ICBMs (maybe including roughly 15 DF-41s with MIRVs) would be enough to deter anyone fro waging a nuclear war against China.