Re: SPOILER ALERT: Anyone bothered by....
I don't think that 1973 Wolverine will have the adamantium. I think that once the mind swap happens Wolverine will be unable to return to his body in the future. I think he will willingly go under the adamantium process to set him on the path that led him to meeting the X-Men and Jean.
That would ring true with Stryker's comments in X2 that he volunteered for the process and bring the series full circle.