This story is going back more than 6 months, since 14 March 2023.
The short summary is this: If you have a pair of APP 2 that you buying in the first few months of release, is very probably that the battery life of your charging case (CC) is very bad.
After 6 months and many, many phone calls with at least 5 different Apple advisors (second line of support), a lot of frustration, anger, disappointment and many hours of wasting time in the telephone, I finally receiving a replacement charging case 25 days ago and now things are normal. Only the last Apple advisor really seeing the very obvious problem and working patiently for resolving this problem.
I will not telling all the story because is EXTREMELY long and boring, but this are the main points:
1. I seeing from early days that my CC (charging case) is losing battery very fast. My personal use of APP2 is about 20-30 mins from Monday to Friday for one specific task and don't using for nothing more. I seeing that every day the CC battery is going down significantly, and I have many features off (find my, chiming sounds, ear detection, etc).
2. I deciding waiting more long time for contacting Apple support because I needing the APP2 for special task I do from Monday to Friday....until one day the APP2 dying completely, no sound, no connection to any device. I resetting, etc, and nothing is fixing the problem.
3. Now I desperate needing a replacement. So, I receiving what I thinking is excellent support, but still I need buying a new pair directly from Apple because I needing other APP2 for the important task I'm doing 5 days of the week and the new purchase Apple is delivering in next day and the repair I'm thinking is taking possibly 10-15 days? I know I have 14 days with Apple for full refund, so I think that after I receiving my repair I returning the second pair.
4. So, then I calling support, I saying my APP2 dying and that ALSO from beginning I have very bad battery drain problem. For my incredible surprise Apple are extremely very quick and in only 2 days (from sending my faulty pair) I have the fix (they exchanging left and right AirPods) and my original pair is back. I'm very happy for excellent service and I even writing a post here in this thread. But then I deciding taking screenshots (one or two times in a day) of battery discharge of both pairs for 7 days without using both APP2s at all. For this I deciding not using the APP2 for my Monday - Friday task and deciding using my full size ANC headphone (Solitaire T) because I needing a lot good ANC. My shock is that the battery life of the new APP2 charging case is very, VERY better.
5. So, I sending all screenshots of both pairs to Apple and, at he same time, returning the second pair for full refund. Apple asking me sending the original APP2 pair again but this time ONLY for the battery drain problem.
After this, the story is extremely loooooong. Different advisers telling different stories about normal specs, how the technicians testing...asking me for more screenshots, installing special software for recording logs....etc., etc., etc. AND etc, etc. etc. I keep saying to different advisers that I know the battery drain of the CC is completely wrong and that I sending already proof of other pair, in practically new conditions showing completely different results. I telling them, and this is true, that I still have 2 pairs of AP second Gen, one pair of AP third Gen (and my memory of my sold APP1) and that the battery in all this 4 pairs is nothing like the APP2 I buying last year when the APP2 releasing.
The results of my original pair (in like new condition and using ONLY for 2-2.5 hours in a week for 6 months): in 9 full days of not using at all: 82% battery discharge (18% is remaining in CC).
The results with a new replacement charging case: in 25 full days of not using at all: 23% battery discharge (77% is remaining in CC).