Hyping Lunarians is synonymous with hyping King when he is the only known surviving Lunarian, doesn't matter how the guy got that power, the thing is his supposed rival/equal is hyping him up while they are shitting on each other normally, while the rival is fighting his own battle. People are so ready to parallel Zoro - Sanji with King - Queen. Remember how Sanji hyped Zoro prior to this fight, he said Zoro is equal to 10 men when healed up when he gave Chopper to heal Zoro. From this we can even say that Queen was actually lowballing King (the only Lunarian). Why are you comparing it Katakuri and BM pirates, he is one of the eldest guys out there (he is the 3rd or 4th eldest I think)? The situations are completely different, the structures while may seem similar due to commanders and officers, the culture is very different. In Beast Pirates strength is the only merit, while in BMPs there are also claims based on seniority.
Age is relevant, we did find them in the supplementary material (not going to get into value of vivre card and magazine things), but it does give us an idea and why sometimes certain things are important which are revealed in these extra materials.
Let me explain why I am talking about the age. When Kaido took over he already had King and Queen in his crew. As per wiki Beast Pirates was founded 33 years, King is 47 years old so King joined Kaido when he was 14. Somewhere between 33 and 28 Queen probably also joined before they took over Wano. So imagine a 23-28 year being below the rank of a 14-19 year old. At later ages the difference does not matter so much as the characters have generally attained their prime. Jinbe is 46 years old, Sanji is 21 but nobody (not trolling) says that Sanji will always be weaker than Jinbe. Age matters, growth rate matters, ranking within a hierarchy matters specially where strength is the only merit.
King > Queen > Jack
Zoro > Sanji > Jinbe
King has already been called the right hand, praised by Kaido for strength (who views strength as the only worthy thing) and named King for it and is also the first to join Kaido. Even after all this you wanna say that King is equal to Queen or he is not above Queen in the hierarchy then I have nothing more to say. Just as Zoro is above Sanji and often takes the role of the vice captain so does King but in King's situation it is further strengthened by the simple organizational hierarchy in which the only one above him is Kaido.