At least twice, Jamie has said he'd gladly suffer in hell for Claire's sake.
In 06x08 "I Am Not Alone" - we literally see him do that. Writer Luke Schelhaas' commentary on the script makes this explicitly clear - Jamie and Claire's journey in the wagon is a descent into hell.
If I must endure two hundred years of purgatory, two hundred years without you -- then that is my punishment, which I have earned for my crimes. For I have lied and killed and stolen, betrayed and broken trust... but when I stand before God, I shall have one thing to say, to weigh against the rest. Lord, ye gave me a rare woman, and God! I loved her well.
-- Jamie to Claire, 02x13 "Dragonfly in Amber"
Everything that’s happened from the moment I came to this time...
because of my selfishness in wanting so desperately to be with you.
If ye’re selfish, let me be accused of the same crime. I dinna care what the right and the wrong of it may be, so long as you are here wi’ me. If it was a sin for you to choose me, then I would go to the Devil
himself and bless him for tempting ye to it.
...I would do it all again -- and more -- to be with you...
-- Jamie and Claire, 06x07 "Sticks And Stones"