When we login using the module the current page isn't being reloaded. We're redirected to the homepage after a login via the module on any other page. In what instance(s) would the module not be able to reload the logged-in user to the current page, other than a permission setting?
I mentioned the plugin because other forum posts related to login redirection had the support seeker check that plugin to make sure it was enabled, public and that the Redirect URL settings were enabled.
Oh, also, concerning the random page... during my troubleshooting, on several test runs, I would login via the module and then I would be redirected to a page of the site that I had not visited at all - once it was a random Kunena single forum post, another time it was a JCal Pro calendar month view for February 2023.