Hood never got the refurbishment and up grade to her deck armour hence as Daan stated she was only a Battle cruiser not a Battleship even though her guns may have been adequate to take on the Bismarck her protection from plunging fire was woefully inadequate.
As far as the Prince Of Wales went what a job her crew did the ship had civilian workers on board still sorting out the guns and other stuff that needed doing so new was she.
I cannot vouch for it but I am not sure she was even on the books or fully accepted into service either way she did a stirling job despite the limitations in scoring a hit on the Bismarck.
Sadly her and Repulse were destined for a sad end when you send ships out without a carrier they are no match for sustained aerial attack even the Yamato & Mushashi bore that legacy out at the hands of the US naval flyers.
One controversy that was cleared up was Kerr's turn to Port so he could bring his aft guns to bear having given the Germans a narrow target for as long as possible but sacrificing firepower when they found the stern section of the Hood.
The rudders were jammed to port indicating Kerr was going broadside on to get the maximum shells onto the target.