That's not even the main issue, think about Sabo here. If Lulucia really is, say around the middle mark of Paradise, so somewhere near Alabasta or Jaya, then how would Sabo even get there this fast after the Reverie. If Sabo's intention is the escape quickly, he would probably not choose to travel around half the globe to Lulucia.
So yeah I agree with you, the moment Oda planned for Sabo to land on Lulucia, it had to be somewhere in the New World, plus the Eddy thing, even though there are now open questions with Ace's cover story. That was the trade-off for Oda.