Yes, you can do that. You must have NCS on both computers. Since you have NCS on both computers you can record on both computers or just record on the local computer or record on the remote computer and use the local computer just for monitoring or …
Looking at your setings I think it might be the setting for the Source that you need to change to 0.
Here is how the two NCS computers are connected with each other.
1.this is the remote computer with a webcam
2.this is the local computer
Note that Source is set to 0 since I only have one camera added on the remote computer.