In DnD beyond the druid class is actually annotated differently than it appears in the PHB or the SRD. The "Improved Wild Shape" entries under class features are not tabulated under the "Wild Shape" Feature, they have their own entry. They also make no reference to correlating to, and/or altering the "Wild Shape" feature in their entry so they technically read to stand on their own. RaR the DnD Beyond Druid base class Gets 2 uses of Wild shape limited to 1/4cr (no fly/swim) at 2nd level, AND 2 uses of "Improved wild shape" limited to cr 1/2 (no Fly) at level 4, AND 2 uses of "Improved Wild Shape" #2 which is limited to CR 1 and has no restrictions at 8th; yes for a total of 6 uses of features that allow them to wild shape by three(two?) different names. 

RAR the DnD Beyond 8th level Circle of the Moon Druid would have 2 uses of "wild shape" with no swim/fly limitations of CR = to his Druid level/3 (2), AND 2 uses of "Improved Wild Shape" limited to cr 1/2 (no fly), AND 2 uses of "Improved Wild Shape" #2 which is limited to CR 1 and has no restrictions. (The latter two "Improved Wild Shape" features would be unaffected by the Circle of the Moon subclass features since they don't directly mention altering those two class features by name. Uses of the "Improved Wild Shape" class feature wouldn't also be able to be used to turn into an elemental since they have been marked explicitly as distinct features.)

See where I'm coming from? It's nitpicky but it's something that could cause problems/confusion. This is something that should be fixed so it is correctly in agreement with the core rules. 

Any update about that?

The Wild Shape feature description includes the Beast Shapes table detailing which levels give the improvements. Those correspond to the levels where Wild Shape Improvement is granted. They are not separate.