Discovery has made its own canon. While I haven't seen that episode, DSC klingons look quite different than TNG+ klingons, so redesigned blood for DSC shouldn't be taken to mean that maybe SOME klingons have the pink blood and SOME have the red blood or whatnot.
The Klingons in Point of Light (and Discovery Season 2) were redesigned to be slightly closer in appearance to TNG era Klingons (hair brought back, skulls shaved down, skin color variation lessened).
And Star Trek: Picard and now Lower Decks has made references to Discovery's design ethos, so we can't really ignore it as non-canonical anymore.