I would say that the 'sound of the 60's' bass, as far as the British Invasion bands were concerned, would not necessarily be the iconic Hofner, although, yes, that band/bassist used one. Generally, it would be all the short scale hollow body basses used, Gibson/Epiphone, Framus, Gretch, Harmony and so on. Stones, Animals, Yardbirds, Mindbenders, Small Faces, Spencer Davis Group, Dave Dee, Dozy, Beaky, Mick & Tich...seriously, Fenders seemed hard to get at that time because of trade restrictions, or else bassists gravitated to short scale because they were previously the worst guitarist in the gang when the band formed.