The parallels are there, two commanders with titles who are prepared to give up everything including selfish and personal desires to fulfill their duties and save the lives of the many, even at a personal cost. Their stories this season have been identical and both have proven that they're the best equipped to handle The White Walker situation. The only strong-willed men.
That's why Melisandre has an interest in both of them. They're not afraid to get their hands dirty and make the tough decisions that weak leaders wouldn't have the guts to make. Jon Snow could have thrown The Nights Watch in the bushes to become a Stark and abandon the oath he swore to the Nights Watch. Stannis could kept Shireen and doomed Westeros. But they didn't because they're down for the cause and have their duties to fulfill.
#Stanniset
Snowman