I don’t use the two you’ve called out, so I cannot guarantee my Google results are accurate, but the principle is similar…
If the app supports external authentication (usually, looking for things like OIDC, SAML, or SSO in the documentation), then I’d configure the app to do that and skip the Traefik middleware piece.
This is what I’d do based on what I’m seeing on this article for NextCloud. That is, when all is said and done, I’d go nexcloud.myunexistent.deployment and be greeted with the next cloud login screen, where the external authentication option is shown on screen.