There is a degree of sensitivity concerning the data from both FDRs and CVRs. Accident investigators such as the NTSB & AAIB will have a policy regarding the handling and publication of the data.
Airlines with developed employer/employee relations will usually have a policy on who can access recorded data and under which circumstances, Flight Data Monitoring programmes etc.
As far as I am aware there are no hard and fast rules that stipulate when CVR recorded data can be accessed and an employer may wish to use all means available to complete an investigation into an event, including a ground occurrence such as you describe. If the CVR info is used to properly as part of an investigation to establish the cause of the ground incident and put in place error prevention strategies for the future then this will be to the benefit of all. However not all employers have this enlightened approach and may use it to support punitive actions.
I hope you have an enlightened employer!