Yes, bkoep, you are right that the issue shows only with the blue and red visualisation of the HBN objective (i.e., with "Show" checked in the Objectives panel). The blue/white bonds in and around chain 0 are OK.
But I think your impression that the score is OK might not be correct in all cases.
First of all, I have to admit that my own assumption in comment #2 (above) was wrong. When I wrote that, I had only seen screenshots; I should have waited until I encountered the phenomenon in my own design.
In this example, I have two Hydrogen Bond Networks, each consisting of (when I count them) 8 bonds, 6 of which are interface bonds. On one side, that is shown and counted correctly. But on the other side, it is shown and counted with 7 interface bonds.
When I mess up the HBN, it falls apart into two separate bonds, so it does not count as a HBN anymore. But on the "Fake" side it is still shown, in blue, with 3 interface bonds. The score is zero now, because this HBN is (much) less than 75% satisfied.
When I tried to make a bond to the Acceptor side of the Threonine, the other bonds got messed up again, but to my surprise I saw a pair of fake blue bonds on the other side (the side that had previously been OK), as well as the "original" pair of fake bonds, but now red because they had become too weak. Note: I rotated the camera to the other side for this screenshot.
Instead of making another assumption, let me call it a hypothesis this time:
Is it possible that the fake bonds occur whenever a bond is formed between an Acceptor on chain 0 (coloured) and a Donor on chain 1 (purple)? I think that description would fit all the screenshots I have seen so far, and any other combination seems to be displayed OK.
I have uploaded three solutions (with scores 22957, 21081, and 20913, as shown in these screenshots) for scientists. Hope it helps you track down this bug.