That would explain the color and why he can wield it, but what I find the most peculiar, is that he didn't took the other sword. I mean considering how easily he took the Demon Dweller, why didn't he try to take the Demon Slayer as well? If he did, Aster wouldn't have had anything anymore. It seems rather interesting that Licht said this chapter that that grimoire isn't his anymore, so I interpret that as not that didn't want to take the sword, but that he couldn't.
DW was found by Aster and then added to his grimoire, DS however was already in it and when Aster cloaked himself with anti-magic, Liar was surprised. This indicates that it was something alien to him. With other words Licht was able to use the swords, but doesn't seem to have had access to actual anti-magic.