No; this is not how that JTAPI command works. Think of this as doing a transfer from your desk phone. CCX is placing an independent call leg from a free CTI Port to that destination. When they answer, it instructs UCM to bridge the original call ID to the new one. Until that happens, they are separate calls.
Three options to address the limited options with Call Redirect:
1) Turn off Call Forwarding on the destination and set No Answer Ring Duration value as desired. Without a CFNA value set, I believe it will result in reorder at that time which will match the Busy branch of the Call Redirect step.
2) Add additional DNs instead and configure them as explained in option one. This avoids breaking the user's voice mail; provided you have a spare line button.
3) Create a Hunt Pilot/List/Line Group instead and set the Maximum Hunt timer as desired. This will also result in a reorder tone assuming you have not configured a CFNA option on the Hunt Pilot. This again should match the Busy branch of the Call Redirect step.