There are various different knots you can use to attach your mainline to your Leadcore and using a swivel is not one of them as this then make the rig a death rig and is not to be used under any circumstances. Recently one of these set-ups was found on lake 3 and is not acceptable.
As you probably know, a swivel may look the easiest way to attach and detach your Leadcore from your mainline, but the swivel does not allow the lead arrangement to discharge should your mainline break. This will certainly lead to a tethered rig. Swivels also pick up weed very easily and are prone to snagging.
If in doubt, consult someone with good knowledge of these set ups or go to your local tackle shop
who would only to happy to point you in the right direction