Yes, I got what I wanted in the end, but it wasn't easy.
For some recap, I asked for escalation like a month ago, then I got that weird e-mail saying "CCM is aware of this case", and it wasn't clear if she is aware and happy with what is already offered or still reviewing. I straight away asked for clarification and asked, "so should I assume to hear back from CCM"... that was never clarified. Then an email about "slight corrosion on pusher tube" without context, to which I responded along the lines "like yes, we know the watch had repeated ingress issues, so not sure what you're implying here", and then basically a chaser from them "do you want to pay or want it back the way it is"...
To that I obviously responded saying "hold on, I thought we were waiting for CCM" and also "I don't think you can just simply return it in worse condition than you received it"... and then nothing for 2 weeks, until I not got resolution straight away from CCM.
So yes - absolutely true "get it in front of the right person" was what I needed, but there was pushback from the service centre, it seems.
Also - AD "Customer Care", never responded... "we take these cases very seriously etc." 4 weeks later, I am not expecting anything from their side.