I agree with you, but the difference is that starting from now their algorithms will be enhanced by your active cooperation (because people will start to flag mails that get in the wrong categories). So as I titled before, you will disclose EVEN MORE information than now!

Since starting from now you will have to tell Google what is important to you and what it isn't, so they can profile you better. Nice trick. Not that i won't use it...

I find this kind of discussion rather scary. If you are at work place, setting up the tools you use to do your job, then it is work. Full Stop. The discussion should be about whether your boss should pay you (even maybe with a reduced fee) for time spent COMMUTING to get to the work place. But note that this has nothing to do with productivity. Is just bosses harassing people (to maximize profit). I think i wouldn't like to work in the USA.