Yes it would limit or slow the time it takes for both copies to reach an Active state as a single init stream is used for both copies.
I have a question about CRR and CDP throttling. I know that there is a bandwidth limit that can be configured per CG. Does that limit the IP bandwidth for CRR or does it limit FC bandwidth also for CDP if going to a different array?  If I am doing CLR and set this bandwidth limit would that slow down the CDP also so that it only runs at the same rate as CRR?  Also, I know you can use config IO throttling to set a limit per array. With a VMAX can I set the limit per director or engine?
Recoverpoint CRR and CDP throttling on VMAX