John Adams was also a blowhard who loved the sound of his own voice waaaaaaay too much and spent a lot of the Revolution and subsequent years working to insure his place of greatness in history.
Adams was the only President of the Senate who actually presided on a regular basis, and he annoyed a lot of people. The Senate was happy to have him replace Washington as President just so they didn't have to listen to him blather. The term that Adams served as President and Jefferson as VP was where they really split in their friendship, and it wasn't until long after Jefferson's term as President was up before they reconciled.
Yes, but Adams was the FIRST president of the Senate and they all had a lot to learn about their new roles. You can't blame him for trying to make something of his new job.