Comment 29 for bug 1566987

this is a thought/hack only for consideration:

searching online: a debian[-testing] user had issues with a t460 (power-management or wake from suspend on battery; yes a different issue to you; {stefon:2016-03-26}) which was fixed with a later 4.5 kernel.

the following is a link to install another kernel should you feel comfortable to try.
http://ubuntuhandbook.org/index.php/2016/05/install-linux-kernel-4-6-ubuntu-16-04/

note: I would NOT delete your existing kernel. I am also assuming you have GRUB installed. If there are problems select an older kernel (at grub menu) & just remove (dpkg -r) the newer kernel.

This is something you might want to consider trying/testing. Any questions, please ask. (if you have ubuntu 16.10; a live boot of that would test same thing without altering your sdd|disk).