Well, Pulp were from Sheffield and Suede were from London...
The Manchester sound, for me, was about Stone Roses, Happy Mondays, Inspiral Carpets, Northside, The Charlatens, Paris Angels, 808 State, James, etc etc...
There was an odd period between 'Madchester' and 'Britpop'. Maybe 4-5 years. Much of the bands you mentioned came along then... for my part, I loved Lush and Curve. I'll add to that Carter The Unstoppable Sex Machine, Manic Street Preachers, The Wonder Stuff, Catherine Wheel, Ride, The Auteurs, early Radiohead, St Etienne, The Frank And Walters, Blaggers ITA... a great period of music that I would take over the bloody Britpop / 'dadrock' era that got so successful in the mid 90's...