I think they will be restored as long as the new server is in the same domain as the original - why don't you try it with a test folder (containing some files) that has some obvious unique ACLs on it.
I am not 100% sure but there may be some issues if the permissions were inherited and you did not restore the folder object they were inherited from as part of the selections.
You also need to be aware that this answer is about File System ACLs if you are asking about restoring share level ACLs then no as these are part of the system state of the server and not the file system and you cannot redirect restore parts of the System State.
I should perhaps point out that we are to really designed as a migration product and a full DR restore would usually be back to the same server (or a server of the same name etc)
