I don't have anything substantial to add to the discussion beyond another data point: I also relate to the feeling of wanting to be 'productive' most of the time and not really enjoying pure leisure time. I recently spent 2 weeks working remotely from a nice location in Italy and definitely would've enjoyed the time less if I couldn't have also worked from there. I also enjoy hobbies/free-time less when I believe it ultimately doesn't lead myself to becoming the person I want to be.

On the one hand, I think this is only natural if you are an ambitious person (this desire is imho exactly one of the things that allow a person to achieve ambitious feats); on the other hand, I am definitely struggling with finding enjoyable, non-work activities that recharge me.