Currently it doesn鈥檛:

We need to fix it to create a new key-value pair, just like Chrome does.
Will work on this 馃憤
Tagging this as in-progress since @sumnerevans asked to work on it.
Let me know if you change your mind, Sumner! 馃槃
@bvaughn, were you going to merge in #810? I would rather work off of this repo (I'm working on this on behalf of Kenzan so, for administrative reasons, it's easier).
I was not planning on merging #810 as it had a few issues needing to be addressed first. I was holding off to see what you did with your fork, assuming I'd merge a PR from you and close #810.
What do you prefer?
@bvaughn, I've been working on this for Kenzan and there have been a few changes in my work allocation. I'm not going to be able to work on this. I'm really sorry.
That's okay. It happens.
Does this also apply to #814 ? Need to know if I should mark that as ready for someone to pick up also.
@bvaughn Is this issue still open?
@bvaughn, I have a pr to make this work(#1205). Please check it out.
React DevTools has been rewritten and recently launched a new version 4 UI. The source code for this rewrite was done in a separate repository and now lives in the main React repo (github.com/facebook/react).
Because version 4 was a total rewrite, and all issues in this repository are related to the old version 3 of the extension, I am closing all issues in this repository. If you can still reproduce this issue, or believe this feature request is still relevant, please open a new issue in the React repo: https://github.com/facebook/react/issues/new?labels=Component:%20Developer%20Tools