How Japan might assess Renown and Repulse

How much did Japan know about Renown and Repulse when judging the proposed British force?

Japan is credited with enough knowledge to respect them, including awareness of Renown's modernization; accompanying King George V-class ships would make the force much harder to challenge.

Japan is credited with substantial knowledge of the British battlecruisers and awareness that Renown had been modernized. The suggested Japanese assessment compares that work with the modernization of the Kongo class. Even if Japan tried to challenge Renown and Repulse, the accompanying King George V-class battleships would change the calculation. Committing Nagato would raise a further question about how far Japan would send its heavier battle fleet in this counterfactual.