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If you are referring to the new editor, the links are not disabled – there are no such links. The message key is shown at the top if you open a message.

In the sidebar there is link only to Special:LanguageStats. It's not new nor old list but a different thing.

You are right, the message keys are shown as you say. Sadly they are text without links.

Yes indeed, in the sidebar, there is a link to Special:LanguageStats. It is labelled "Translation tool", however, not "Statistics", thus I named it "list" above. Special:LanguageStats has links to group translation pages. Whether or not the "new editig interface" or the older one appears when you follow these links, varies. In my experience, with computer, operating systen and/or browser.

When I wrote the above, I was confronted for the 1st time with the "new editig interface" on a system where it was/is hardly suited for translating. Since links in Special:LanguageStats did something else than in the months before, I wrote that links were altered. I did not know yet, that it depends, what they. do.

Indeed, for the systems, where the links go to the old editing interface, nothing has changed.