To me Brit Funk bands were more like Light Of The World, Beggar & Co, Freez, Icognito, Atmosfear, Central Line, Imagination, Junior Giscombe, Shakatak etc. Some BF fans drifted towards Spandau Ballet, Haircut 100, ABC etc while others went the more jazz route of Paz, Morrissey-Mullen etc.
Kokomo and Gonzalez were a bit before most of the above BF bands and appealed to the more of a pub-rock audience and not Brit Funkers. Paz seemed to have a following of all types young and old and many of the younger ones would beat a trail to the Belvedere in Richmond on Sundays where Gilles Peterson was often on turntable duty.
Oh and to most people in their 20s in the late 70s / early 80s 'Jazz' was Herbie Hancock, David Sanborn, Ralph McDonald, Bob James and lots of Fender Rhodes!