For me I run in Altras, love zero drop but I am not sure I would want it hiking. I think some heel rise is nice especially when gaining elevation. I haven't tried it though and am thinking about getting some lone peaks to test out (I just really love my Altras when running).
As far as day hikes, I love low top none waterproof hiking shoes.
Backpacking... I like my Vasque breeze 2.0s, they are gore tex and I would say I have not experienced the sweaty foot problem. I have slipped into some creeks I LOVE the waterproofing personally. They have a ton of vents in them (hence the name breeze) so if they do get wet they dry almost as quickly as my low tops. For me the nice sturdy bottom and waterproofing is important for all the creeks, rocks, logs and mud bogs that plague Uintas. not sure I would ever want one of those heavy duty backpacking boots but I do like a good higher top waterproof boot.
I really think it is different for everyone though ,what works for some doesn't for others. Not sure my pack has ever been below 30 lbs, but I can see the logic of lighter shoes for those that can do that!
Also as Steve warned it is wise to ease into zero drop footwear. It can put a lot of strain on your achilles if you are not used to it. I eased into the switch and I won't go back now!