The two points that you make are shockingly surprising to me. Do you mind elaborate on how you get this?Because there's "a certain loose end" that in the shape of Taiwan Island, thus they can't drop the "People's Liberation" from the title yet.
Actually, for a short time post-1949, the PLA changed its title to "National Defense Force" (國防軍) but not long after decided to reinstate the "People's Liberation Army" because there's that loose end aka Taiwan and seems like (and proven so) will be quite sometime before that can be resolved, thus they need something to remind themselves the mission is not yet complete.
Thus, to stay in-topic, is the reason why Chinese Navy's ship full name is such a mouthful.
C'mon, one way or the other "China" is part of the official title. Plus, "Chinese Navy" （中国海军）is a title that PLAN has been using with increased frequency since the last decade.
And as usual, official photographers have a knack to make their ships looks smaller than they really are...
- I am old and have many relatives in the military some have served as early as the 1960s. I have never heard such things especially that PLA was officially named "National Defense Force" for whatever length of time.
- "Chinese Navy" is a English phrase, not a official title in English. It is like calling Xi Jingping Chinese president, but his official title remains Chairman of PRC in English. Just because somebody choose that English phrase in the English newspaper does not mean anything.