Do you think Roose’s conduct during the early part of the Wot5K (weakening fellow Northerners in secret) was somewhat influenced by his son Domeric dying a year prior? Would some dynastic security have softened Roose’s cold heart?

Roose Bolton is not your woobie. If you need proof of this, remember what he did to the miller’s wife, and the miller, and the miller’s brother. All of that while Domeric Bolton was very much alive. 

Domeric’s desth was an inconvenience, but let’s not pretend it was the the inciting incident of Roose’s tragic past that sent him down the path to darkness.