​I don't think so.  I think it was about the same time.   We had both in the early 1980s when 120 cps was the fastest.  Hayes may have been later with Fax support, certainly with the 56K stuff, but we had fax support with the slower modems from another manufacturer who's name escapes me now [IIRC it started with a C, they were black and the SW interface was terrible/buggy].