the best chefs in the world are all men, it makes sense that in the future thats still true
there is plenty of woke stuff in this show and its bizarre to complain about woke in Star Trek, the entire point of the show from the start was to be be progressive, anti-capitalism, feminist, on and on. You're at the "the Empire are the true rebels" levels of rationalizing shit you liked as a kid.
SNW is the closest to TNG/DS9 in levels of story telling, actors, etc. Its all trying to push a message of pro-immigration, pro-diversity, pro-equality, etc the only difference in the level of eye roll cringe, on one side you got Discovery and at the other end shit nobody watches like the Jesus bible movies. The funny thing is if Trek wanted to truly be subversive and anti-establishment, it would actually push a right wing, "no race/ethnic mixing, purity is best, borders are all closed" Romulan type of main character/storyline but nobody will greenlight those ideas.