Somehow this song came back to me because I remembered having no idea what it was about. The title sounded like "bucket of tea" to me. I vaguely knew the Who were English and somehow even as a child I'd already picked up on tea being a British thing. But drinking it from a bucket just sounded nasty.
Later I learned about the soul band Booker T & the MGs. So was it "my Booker T"? That didn't fit the lyrics at all.
The above picture illustrates what a bucket-T actually is. I can see getting enthusiastic about it. And yeah, would be hard to fit another passenger in there.