Apologies, my familiarity with some of the terms of Mastodon are still a bit rough around the edges. By relationships, do you mean your followers and who you follow?

If so, it does seem like your followers is preserved (so long as nothing inhibits the move signal), as for who you follow its not clear on the docs whether that is preserved or not (and I've not done an account move of my own) - but you can export a list of who you're following from your account preferences, and then reimport it on your new account for sure.