So we agree that presidents dont control jobs or the economy. Supply and demand and capitalism controls it. If the president controlled it or even controlled most of it then that would mean we had a government ran by a king or communism.
Plus if the president controlled jobs and the economy then everyone who wanted a job would have one at all times and the economy would be awesome at all times. Presidents, for whatever reason, seem to like being president and want to be re-elected. So it wouldn't make sense for a president to make the economy poor since that would hurt their chances of getting re elected. If presidents controlled the economy then the economy wouldn't go up and down. It would stay up at all times. Every president wishes the economy was fantastic while they were president so it would help their approval ratings and help their chances for re-election. I mean, duh.
Do they have a say? Do they have an impact. Sure, a very minor say and very minor impact. Which is why its stupid to give credit for the economy to the president like many people stupidly do.