Is it possible to use blocks in components?

[nerdoc]

It's maybe a silly idea, but I often come across a page where I want to use a component that lists a few objects, and I'd like to have a search field for that objects, like in your parent/child components example.

I have a fairly complex application with more template layers, and many blocks, and think it would be cool to put the search field component into the "search" template block. But Unicorn components seem to ignore blocks completely.
Is this by will, by accident, a bug, or even a good idea to implement?

It would allow to "spread" a component into a few blocks. Maybe this has some common ideas with #255?