If you are using the SimpBMS code, yes pre charge opens again.
The max charge current of the Opensource Tesla Charger is on the AC input side.
You set this to the max your wiring in the car can handle, only in some cases will it be required to be altered for charging using a dumb socket.
When using an EVSE and having the CP and PP wired the Charger will limit its current based on what the EVSE can provide.
Currently there is no DC limiting in the open source chargers, something that has been on my list for while to look at.