Tough question, as they have many different neck profiles.
I have two USA Spectors and a Warwick Streamer Jazzman.
My 4 string Spector is an NS-2J. Compared to my Warwick, it has a wider nut and fatter back. The Warwick has a very slim, narrow Jazz shaped neck. I believe a Spector Doug Wimbish model would be very close to the thinner Warwick neck. In general, I think Spectors are wider and fatter. I love them both though