and was not portrayed less relevant than kidd as he was the one that landed an attack on big mom and told Kidd not to drag him down.
He is absolutely portrayed as less relevant than Kid
This entire subplot started with Kid chasing after big mom in 1010 while law stayed on the rooftop to fight kaido. The reason big mom didn't go back up to the rooftop after fulgora was because she was chasing after Kid. Between the two of them, Kid was the first to encounter big mom after the rooftop.
Kid has been nerfed and Law consequently hasn't been able to do anything. 1029 signifies the turning point in this fight and the thing that changed is that Kid has finally become unshackled from Hawkins's powers. Between the two of them, Kid is the conqueror, and their names have a thematic connection to each other(kid vs mom).
This fight is a parallel to the kaido fight. There, Luffy was the main fighter whereas zoro played a significant supporting role. Here, Kid is the main fighter whereas Law is playing the significant supporting role.
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It might not go down to a pure 1v1 like Luffy vs kaido, but Kid will definitely land the finishing blow.