Might have run into a bug, not 100% certain, but going to throw this out there....
XF: v2.2.13 (still on .13 for
reasons 
)
Addon: v2.6.2 (Supporting Dependency: Standard Library v1.18.4)
PHP: v8.1.28
Errors: None reported at the server level or XF error logs that would be related to this report.
Summary of the issue:
In this example case, we're looking at searching through the IP ban log from the XF ACP. We are searching a specific string that would be contained in the reasons field for each banned address, etc.
View attachment 302363
Using just the search term, and clicking the "Filter" button, we get the results in the next screen (showing the count):
View attachment 302364
The first page is correct and then we would like to view the following pages by clicking on the pagination numbers in the image below. The problem is, if we click any page number other than "1", the filter is erased and it reverts to showing the whole index. (Below)
View attachment 302365
If we try to click back to one, the filter still has been reset back to empty.
View attachment 302366
Expected Result:
We believe that the pagination should carry the filter forward instead of resetting upon trying to view page 2+ of the filtered results.
Workaround:
As the base XF does not offer a filtering/search for this screen, we just export the data in XML and find the data we need in an offline tool.
We did not have a lot of resources available to test other parts of this addon, but I did note personally that the pagination appeared to be working on the server error log page as well as the user change logs, where there are plenty of samples to work with.