Probably no Lecavalier, Streit, or Del Zotto for the Flyers.
Nashville, are they worse in 12-13? 4th overall pick with Weber. If they select higher, do they take MacKinnon or Barkov over Jones, or do they still go Jones? Could make the case they go Jones either way, because they had Weber and still took Jones. On the other hand, they traded Jones for a #1C, so who knows for sure. Without Weber, would they trade Jones? Probably not. They traded Jones before trading Weber though.
Beyond the more immediate possibilities, it's endless. Had the Preds not matched, maybe it butterfly effects into the Oilers not getting McDavid. Then they don't trade Hall, at least not to NJ, and maybe not for a defenseman. Chiarelli probably wouldn't be there. Maybe Toronto wins that lottery instead, and then they don't end up with Matthews. Tavares probably isn't a Leaf, since McDavid would've already had a higher cap hit. Maybe Columbus has Laine and Johansen. Maybe Panarin is traded for Landeskog.
As we see even with Weber, offer sheets probably aren't done because they have to be well above and beyond ridiculous to not have the original team match on a good player. If you get the player, you might even screw up your own cap situation, let alone the draft pick cost associated with it. Unless you sort of get a get out of jail free card, and manage to trade that ridiculous offer sheet contract for a PK Subban level player 4 years later, having no way of knowing you could pull that off when originally matching the offer sheet.