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just play store is downloading fast... any ideas?
Try connecting to a 5GHz WiFi network and see if you get the same issue.
Also, if you can't do that, try connecting to a bluetooth device (such as a fitness device, smartwatch, or bluetooth speaker or headset) and see if your network speed comes back up.
I've got three Android 6.0.x phones here from three different manufacturers (one of them is the Z5) that has these kinds of slow WiFi issues that you mention and using either a 5GHz network or connecting to a bluetooth device (I connect to a Microsoft Band 2) tends to "fix" the problem. Very strange.
Hey Guys, just adding a new finding.
Looks like the problem is being caused by interference of my home phones which are also in 2.4Ghz. Whenever I am having problems I just disconnect the phone and just like that, the speed is back up instantaneously.
The doubt that I still have is why only on 6.0 Android 
I FOUND THE ANSWER!!!
I was having the same problem. Very slow loading videos on Facebook App, and Youtube App. Chrome navigation was slow but not that bad as Youtube and Facebook.
What I found is that my router was transmitting in CHANEL 11 which apparently doesn´t go well with the phone because other devices and PC´s were completely fine, just this little expensive and not so good phone had problems with that. Even a Samsung cheap smartphone loaded videos with no problem.
So back to the solution, I tried looking for the option of GHz to switch between 2.4 to 5 GHz on the options of my modem but couldn´t find it so reading an article I decided to try the channel. I switch from eleven to 6 and nothing really change, but at the beginning, it seemed to improve just a bit. Still looking for some real change I went and try channel 1. Omg, as soon as that modem restarted, all the apps and videos were flying as they should, no stop, just loading way way faster, you didn´t even wait for anything in none of the apps mentioned before.
So apparently this phone can´t handle interference very well, and it works better on some channels.
you'd find because of channel overlapping...channel 1 would most likely be the best channel to obtain the fastest speeds because there is less overlapping channels, especially from your neighbours etc etc.
its always a good idea to use apps/programs such as inssider to figure out what wifi channels are being used in your area.
youll find that most routers which are set to auto (for wifi channel)tend not to pick the best one.