I decied to download doze and greenify and take a look. I have used these kinds of apps in the past but for the last several years have felt its really not necesary. When we say we are using these apps to tame bloatware, which bloatware are we talkig about? I have always been under the impression that most of the carrier bundled stuff does not use much juice or bandwidth unless you explicitly start using them. I'm thinking of the MS bundled stuff such as excel, word, one drive etc. What other stuff are we using these apps to tame? How much were they using (battery, bandwidth) before we tamed them? If we don't know the answer to that one we are just guessing as to the effectiveness of these apps (placebo effect). Doze is interesting but you explicitly need to tell it what to allow. That's not always obvious and I personally love getting notified of updates while not using my phone. If they are not using bunch bandwidth anyways, who cares. With greenify things can get messy. You better really know what you are doing before you go crazy with that one.
I prefer to start with an understanding of which apps are problematic and then maybe using tools like these to bring them under control. I would hate to be a newbie reading this thread and installing both these apps and getting aggressive with what they don't allow to run. Suddenly they are missing notifications or never finding out that something they posted in google+ or here got a response. Suddenly android gets a bad name because unlike iOS they are left with the feeling that nothing works.