I think it would be cool to get data from beehives and nests such as honey level 0-5 and bee occupants 0-3.
Additionally, it would be useful to allow players to interact with these blocks in a similar manner vanilla dispensers work to harvest honey/wax.

You can use turtle.inspect() call to find honey level

Sadly it don't display bees in hive it seems (this one had 3 bees in it)

You can use kinetic module on turtle to .use() shears or bottle on beehive to harvest wax/honey.

Is block state exposed via the block scanner?

It is exposed with the scanner. Sorry for not checking either of these tools before posting.
That being said, I think including bee occupants would be a nice addition to the state field.