No, the entire fight was Solomon making a point and truth about the world and White Chain calling him a fag. It's very possible that both of them can be right.
Solomon says the law of kings is survival of the fittest - about those who want can forge the world to their liking, this happens to be true because your will is king. Furthermore, we are given absolutely zero evidence that what Solomon wills isn't terrible because we know that Rayuba isn't terrible. You can talk about about Incubus' realm, Mottom's worlds, but you can't give the "you're a tyrant" lecture to Solomon or even Mammon for that matter. Mammon did fucking nothing and a peaceful society formed around him, that in of itself was a miracle given that every single motherfucker who participates in that society was at one point a thieving murderous cunt - the people of Mammon's world found a fucking escape from the tyranny of the wheel.
Solomon's will is to impose order to the chaos, White Chain, as arguably the premier defender of the law ever comes off as a fucking idiot for not respecting that. How the fuck does White Chain watch Throne go rotten for thousands of years following Universal War and dare accuse Solomon for being the worst offender. Solomon is the only one of the fucking Seven who actually put some elbow grease into creating the peace the angels want - Zoss leading; or in this new case, Zaid leading.
What White Chain doesn't understand here is this stupid fucking tournament serves an alternate purpose, it is to reaffirm that the Emperor is in fact a God every hundred years. In the Grand Inquisitor of The Brothers Karamazov, the leader of the Spanish Inquisition tells Jesus - "Hey Jesus, yunno when the devil baited you into proving you were the godhead by throwing yourself from the building and letting the angels catch you and you didn't - well, you fucked up, because we really could've used that affirmation you were real and avoided this whole inquisition business".