Honestly, unless Jones commited right away to signing a team friendly deal, I think the Bluejackets should be exploring trade options already. While Jones is a fantastic player, the Bluejackets already have a good defense...with or without Jones. They need Centers in order to compete. Two top6 Centers ideally. So if you can land a franchise Center or two real top6 Centers for Jones, that would be something worth considering because it could actually improve the team.
On the other side, if Jones wants to stay and there's no other way to land top Centers, the Bluejackets should consider a rebuild. They should also consider a rebuild if the best offers for Jones consist of mostly picks and prospects that aren't close from being impact players in the NHL.
So I really think that much depends on Jones. If they have to trade him, the return must include either high picks, top Centers or future top Centers. The Bluejackets need Centers...no matter if they opt for a rebuild or a retool.