Yes, my Cool Edit Pro, the predecessor of Audition does a great job as you say, Paul.  I've changed pitches on files a number of times quite easily.

From: Paul Stamler <[log in to unmask]>
To: [log in to unmask] 
Sent: Friday, December 27, 2013 8:12 PM
Subject: Re: [ARSCLIST] ARSCLIST Digest - 24 Dec 2013 to 26 Dec 2013 (#2013-358)

On 12/27/2013 3:39 PM, Doug Pomeroy wrote:
>  A possible alternative: I believe Diamond Cut
> software allows a curve to be drawn which will control pitch shifting
> of a file (requiring trial and error).

Audition will too, at least the earlier versions.