I think your way is, as Ana says, more "elevated." But I am sure I am guilty of issuing the other kind of invitation. It pays to be more thoughtful of other people's plans and preferences, but an invitation in good faith is just that. The other person might not be offering it in the most thoughtful way, but that doesn't mean it isn't a heartfelt invitation. We've often hosted a Thanksgiving potluck where we make the turkey, stuffing and dessert and people bring their favorite side dishes. I honestly don't recall how I invited people but everyone seemed to have a good time.
For you to be here now, trillions of drifting atoms had somehow to assemble in an intricate and intriguingly obliging manner to create you. It's an arrangement so specialized and particular that it has never been tried before and will only exist this once.
--Bill Bryson, "A Short History of Nearly Everything"