There are some things that are better left to after a workout.
New range is sloppy range so you need to clean it up before you are using it in a wod.
If you need to do some mobility so you are able to execute the skill and ranges then do it before otherwise leave anything that is deep tissue until after your workout.
Another aspect that enters is sympathic and parasympathic nervous system.
The sympathetic nervous system functions with quick responses.
The parasympathetic nervous system functions with actions that do not require immediate reaction.
When the parasympathic nervous system is activated you are in a more relaxed state. This is not the ideal situation for a workout.