I’m afraid, having been out there - albeit on tankers, not rigs - I would take some convincing it’s a suitable environment for somebody with MS, and that someone who might lose their sight or ability to walk without warning isn’t some kind of liability.
Will your colleagues really see it as: “Doing your bit”, if it’s storm force 11, as it has been this week, you wake up one morning unable to function, and need airlifting off? You say you’d never consider putting anyone at risk, but isn’t that exactly what you would be doing, to the hapless folk who’d have to turn out to rescue you?
I know anyone could be taken ill offshore at any time, and such cases can’t always be helped. However, that’s not quite the same as placing someone there who’s already aware of it as a possibility.
My honest belief is you won’t be cleared to do it - not unless the medical and medical questionnaire are a complete whitewash, and if they were, how confident would you be of this company’s ethics and safety policies anyway?
I am still in touch with an old MN colleague who is now on the rigs. If you like, I could ask him what is the policy regarding chronic health conditions. I can’t guarantee he’d know, as he doesn’t have any health issues himself, that I know of. But he’s served for over 20 years, so might have a pretty good idea.
Honestly, if this a purely voluntary part of the work, and you’ve got a good, secure post on-shore, and nobody’s forcing you, I’d think very carefully about whether it’s a wise move. If the decision is made for you, because they won’t let you, at least you won’t have the impossible dilemma of whether it’s responsible to go ahead.
I appreciate you may feel your illness has taken a pretty benign course so far. However, in contrast with this is the fact you’ve been put on Copaxone, which is usually only available if you’ve had at least two clinically significant relapses in two years. So either your neuro’s turning a blind eye to the rules, OR he thinks your MS is a bit more badly behaved than you think it is.
Either way, the big problem with MS is the lack of certainty. Even if you haven’t had an episode for years, neither you nor your neuro could give a categorical assurance you wouldn’t have one during a month offshore. Is that a chance worth taking - for you or your employers? I can’t think an oil rig’s a very nice place to get stuck, if your MS suddenly decides to play dirty.