Versioning: staying on the same page seems broken when setting use_directory_urls to false

[bernardomaciel-apheris]

Hey there,

I'm trying to deploy an MkDocs instance to S3, using Material for MkDocs.
As I'm using S3, I followed MkDocs recommendation and set use_directory_urls to false.

My current problem is that I cannot get it to stay on the same page when switching between versions. 😕

I've tried to get it work on a fork of the https://github.com/mkdocs-material/example-versioning repository, deploying to GH Pages, to no avail.
When switching to a given version from a page other than root, I am redirected to the root page for that version.
I see the following logged on the browser console:

latest/:87 Uncaught TypeError: Failed to construct 'URL': Invalid URL
    at latest/:87:88
(anonymous) @ latest/:87

which comes from

      <div data-md-color-scheme="default" data-md-component="outdated" hidden>
        
          <aside class="md-banner md-banner--warning">
            <div class="md-banner__inner md-grid md-typeset">
              
  You're not viewing the latest version.
  <a href="../.">
    <strong>Click here to go to latest.</strong>
  </a>

            </div>
            <script>var el=document.querySelector("[data-md-component=outdated]"),base=new URL("."),outdated=__md_get("__outdated",sessionStorage,base);!0===outdated&&el&&(el.hidden=!1)</script>
          </aside>
        
      </div>

I'm using the following versions:

• mike 2.1.3
• MkDocs 1.6.1
• Material for MkDocs 9.6.14

You can find the source at https://github.com/bernardomaciel-apheris/example-versioning and GH Pages deployment at https://bernardomaciel-apheris.github.io/example-versioning/.

Is this supported? Is it a bug? Or am I missing something?

Thanks in advance 🙏