Update
I first reported about this issue Nov 5.
Meanwhile I changed nothing on my hardware ( iMac , Retina 5K, 27-inch, Late 2015 , 4 GHz Intel Core i7 , 32 GB 1867 MHz DDR3 , AMD Radeon R9 M395X 4096 MB , 1 TB Flash Storage ) and software (Sierra 10.12.1)
... because :
I remember from a 'bluetooth issue' March this year ("bluetooth disabled after el capitan 10.11.4 update") with my iMac , with a lost connection of keyboard , and trackpad at startup .... that if it is up to Apple Help .. they let you try anything , taking a lot of time , and even for some impatient customers replacing their Mac ) - so now I am just waiting for Apple to fix this in next update of Sierra .. and , I recently read somewhere Apple will ...
I start and shutdown daily my Mac , and after Nov 5 the issue was not seen again ... until 2 or 3 days ago once more again (for now)