There is also a slight possibility that the nose pitot is a one off deal for a test airframe in case some things concerning aerodynamics, weight distribution and handling need to be tested on a so to say pre-serial airframe. Not sure how plausible is that, though.
It is possible, but after some discussion with a colleague I think we had both concluded that the "plumbing" behind an aircraft's air data probes is something that needs to be redesigned if you want to remove the probe from the radome of an aircraft.
For existing airframes with radome probes, upgrading them with a new radar is probably not worth the extra additional cost of replumbing the radome and the overall forward nose/section of the aircraft. I think that is why upgraded J-11BG and upgraded F-16Vs retain their same radomes with the probes despite having new radars -- it's because the J-11B and F-16A/C/whatever variant already had a radome with a probe at the time.
OTOH, aircraft like J-16, J-11D and J-15D were significantly redesigned new build aircraft that were quite different from the original aircraft they were derived from (likely J-11BS airframe, J-11B airframe, and J-15 airframe respectively, IMO), so replumbing the radome would've probably been a small job to do in the scope of all the other changes they had to do.
For the suspected batch 3 J-15, the extent of structural modification from existing J-15s may be relatively light compared to the above examples, and it's possible that the only major upgrades are that of its avionics and possibly cockpit. For such a modification, it may not be judged to be worth the slight cost of replumbing and redesigning the air data probe configuration.
(Of course I think it would make sense for all batch 3 and onwards J-15s to be built to be CATOBAR compatible structurally as well, but that's a different matter).