Screenshot of Web Applications Meta > Users > Participation > Month, taken in April 19, 2023
The participation link has the following title:
Users most active on this site (combined number of posts, votes, comments and edits)
The above screenshot shows 5 users having the
[mod] user badgde, 3 are Community Moderators, 2 are Staff having moderatio privileges. Community Moderators are annotated with a red line.
The number below each user avatar corresponds to the reputation earned this since 2023-04-01 up to the current date. This is better for viewing the very recent participation than using SEDE as the later is updated weekly. I think that it shows all users that have participated but some data might shown until the user activity reach certain threshold.
The links below each user card are the tags of the posts where the user participated more. I don't know the reason about why some users doesn't have tags, but I assume that is it's to avoid disclosing on which posts the user have voted or did actions that might make some users "unhappy".
Please bear in mind that not all the moderator actions are publicly viewable.
I don't know what is the source of the data that you have included in the self answer. Probably it was the the user profile of each moderator. You might also would like to consider Visited. Note: The badges related to consecutive visits might not consider every visit. This might also happen with this value.
Some moderator actions can be viewed in the post history. You might want to make feature-request or "bump" the existing one (see Related section) in Meta Stack Exchange to make that information easier to find.
By the other hand, Stack Exhange Data Explorer (SEDE, click the Data link at the site footer) could be used do analysis about user regular activity. AFAIK not all moderator actions are available in SEDE. Also you might ask a question about how to use it and what is available in Meta Stack Exchange.
There have being cases where actions were wrongly attributed to a mod in the past in the post history. Here is one local case: Why was archive.is question deleted? from 2019.
Discussions about Visited
Both are from 2010: