Building queryParam arrays using the paramName[] syntax is a backend-framework-specific thing, and I don’t think it’s supported natively by Ember. We might be able to make it work, but I just had a quick look at the server-side implementation of the tags filter and it looks like we also support a space-separated list.
So, this link should already work without a full page reload: https://meta.discourse.org/?tags=screen-reader+accessibility