To ousiders, lurckers and silent community members:
There is no a Community Moderators plan in place at this time. I don't know about one before I was elected as Community Moderator. There have not being Community Moderator "plans" from I was elected as to Today.
Regarding the question's first statement that includes a link to Let's make "research efforts" more specific: request to search the web app help, I found it deceiving.
For those who are unfamiliar with feature-request, anyone can add this tag to meta posts. This tag is used to ask changes to the sytem or to a specific site. The system is prepared to make it easy to customize certain elements. Some of these elements, like the tour, the help center homepage, certain help articles like /help/on-topic migth be customized by Community Moderators, like me. Other elements like parts of the Ask Question page can be customized by Community Managers (I think that they don't need help from a web designer or developer). Other elements might require a developer without requiring changing the system, just some parameters using their special skills, knowledge and access.
Feature requests that might affect several sites should be handled in Meta Stack Exchange but might be originaled in per-site meta like this.
As a Community Moderator I can add status-review, this automatically triggers something on the side of Community Managers that help them to track the feature requests across the Stack Exchange network. They might do a quick review and provide advice about how to improve the feature request to make it easier to understand by them and handle it on their side.
The Community Managers someway (the details have not being disclosed and there is no need that they do that) review new feature request more deeply, i.e. what the feature request imply, like people, time and resources needed, what is the feature request background, if it has backed by the local community or someway makes sense taking advantage of ther knowledge about what is happening across the network.
When needed Community Managers might ask for clarification or provide guidance when there is something that the OP, Community Moderators or the community in general should do.
Once the assigned Community Manager / Staff feel that they are ready to give a response the might assign one of the other status tags.
My first attempt was to escalate a very old feature request related to the Ask Question form. This required to update the original post due to changes to the system and the feature request process. It was declined I think that this due to misterpretation about how to do a feature request like this as it was focussed on changing a side box but answer was about the modal dialog show to first time askers. Regarding my direct participation as editor of this feature request, it's currently in "stand by".
The second attempt was about a new custom post notice that I proposed very recently. It was declined as it only has 1 downvote, no comments. The feedback is that it could be reviewed again when there are more community participation. Currently this feature request is deleted, but it might be undeleted or reposted later. I have not made my mind about this feature request.