40km against LRASM nose-on is fantasy.A better indicator would be whether PLAN/PLAAF jump on the stealth missile bandwagon and procure their own LRASM, so far it looks like they favor the Bruce Lee philosophy (speed) and not the ninja philosophy (stealth)
The USN has been demonstrating it's capability against high speed targets for decades. They've been shooting down everything from supersonic sea-skimmers (Vandal and Coyote targets) as well as Mach 5 AGM-37Cs high-divers. SM-3 has shot down many ballistic missile types and even a satellite. SM-3 Block II has shot down an ICBM. Things like DF-21 & 26 will be hit before their RVs enter the atmosphere (they're just regular ballistic targets while in space).