As someone who regularly uses both British and American English both at work and in my personal life, I sometimes mix them unintentionally.
I almost always use the same spelling for either word and use context to make sure it is always clear which mold I am talking about.
I do think there is value in distinguishing the words with different spelling, but without getting everyone to agree on which spelling would mean what, I think this won't be very productive.
Having to keep creating fake identities to prevent people and governments from finding out that you're immortal. That would be a massive pain in the butt, especially in a world where mass surveillance of the population is common.