I've just checked and I've misrepresented that. Move the finger lever and it clicks once and won't click again. Click the thumb release and it clicks once, and won't click again. The ratchet seems to move (the cog/toothed wheel), but only the once. Still dead?
Very very likely so, if you try and look underneath where the ratchet is engaging or not, like this (ignore the tool);
If it appear not to be moving while you're shifting, then it need repairing (or replacing).