No, the parameters will not follow your board file.
I would recommend you to setup a site environment, it involves the following
1. create env variable inside system settings and call it cds_site with a value of a path on the Network e.g., u:/rd/Cadence
2. create folder structure u:/rd/Cadence/pcb/nclegend and place your golden nc_param.txt in this directory.That will be the basis for all your new boards with respect to drill parameters
3. inside folder structure u:/rd/Cadence/pcb/ place your golden art_param.txt in this directory.That will be the basis for all your new boards with respect to artwork parameters
You can enhance this with a lot more functionality if you want, for example
site.env file with default shortcuts, settings etc. inside u:/rd/Cadence/pcb folder
If more than one user, just create the cds_site variable on each client and then you share the setup.
You can read more about this in the readme.txt file inside C:\Cadence\SPB_16.6\share\local\pcb
Also a complete example configuration directory structure is shown at C:\Cadence\SPB_16.6\share\local\pcb