John played Fender Bass VI only on three rehearsal ("slow") takes of it. First official release of those was on Anthology 2. He just played quarter notes E for minutes.
That song has 'bassline' composed and played by George Harrison on his Fender Rosewood Telecaster.
The only bass track Paul rerecorded was John's playing in Let It Be (song).
The Helter Skelter outtakes (Take 17 plus You're so Square jam) and studio chat (more of it in Beatles Rock Band videogame) point to Paul playing his left-handed Fender Jazz Bass, and that it was not an overdub. Lennon is heard in the outtake when Paul is directing the band how the sections of the song should go, so I assume he played the guitar - the only guitar on the basic take.
No, album version was Paul on Fender Jazz Bass.
That said, Paul plays it differently live, he is not playing 16th notes but rather 8ths, but maybe that's the age/live thing. The whole confusion of "John played bass" on this song came from Melody Maker interview or article in 1968 with quotes by/from Mal Evans, who must've been talking about the three early slow rehearsal takes where John indeed "played" Fender VI. Since there was no other audio or outtakes of this until 2009, this was parroted and reprinted for decades, in the same way as "Clapton came in and overdubbed the Gently Weeps solo" was (when turns out Clapton played with them together on every take of that song).
The only Abbey Road song that has Hofner is I Want You (She's So Heavy). Something was played on Rickenbacker, which Paul at that time had also strung with black nylon tapewound strings.