WI: No "Tyler Precedent?"

The original draft of the constitution was rather vague on if, upon the death of the President, the Vice President becomes a President in his own right, or is simply "acting president". John Tyler, the first Accendent VP set the so called "Tyler Precedent", where by the accendent VP is a President in his own right. This interpretation was later enshrined in the 25th Amendment. What if the other interpretation, that the Vice President can only become "acting president" upon the death of the president took hold rather than OTL's "Tyler Precedent"?

Early elections. The laws at the time implied an election at the death of a sitting president and clearly called for elections if both the presidency and vice-presidency were vacant.

While small in practical differences, I believe the early elections were designed to elect a new president for a full four year term. This would separate presidential and congressional elections and lead to very interesting possibilities when, effectively, every congressional election is call to condemn or support the president's agenda and every presidential election is call for the nation to either support the congressional agenda or agenda of the opposition candidate (assuming a two party system stands).