Anyone can sugarcoat the definition of "important mission". When Sasuke hyped his mission up saying that there was a threat which was more dangerous than Kaguya, would you believe it? I am asking you before you saw the movie what did you think about his statement? It was more like he had a responsibility to the world which is what caused him to say what he said about Momo. The mission could honestly wait until after Sarada is out of her infant stage closer to early childhood. Naruto and Sasuke pratically sealed the strongest entity in NV as teens so I don't get it what's so important than not being there for your family when there could be no threat greater than Kaguya.
Also about Sakura you missed my point, I said her not telling her more details creates doubt as to what is going on between father and mother.
And this is supposed to be an excuse or something. If Sasuke can jump dimensions with Ameno surely he would've been able to jump back to Earth specifically the Leaf Village. This isn't some Interstellar shit where time is not in your control. Kishi's logic is different.
People need to realize that sasuke was searching dimensions and the ninja world by himself because only he could track down the clues thanks to his rinnegan. We the viewers knew that momo wouldn't show up till the movie but to sasuke, naruto, kages, and sakura, momo could have showed up at anytime. In this regard, sakura never lied to sarada basically asked sakura why isn't her father here with us doesn't he care about us. Sakura basically replied with he is on a mission because he cares about us.
Basically, kishi makes it seem like only recently has started questioning her parentage legitimacy. People also need to understand that kishi took sakura out the picture for a bit so sarada would not find the answers right away. Sakura never really got the chance to explain the situation. When sakura caught up with them she gets ported away so sarada can find out her dna matches with her mother(however she thinks it karin) only to find out her family is legit and she is the proof of their love.
Sakura is probably one of the greatest moms in konoha, all because she raised sarada by herself. Being a parent ain't easy, and things are a lot harder for a single parent whose not so single but whose husband can't come back home just yet.
also, hopefully when people talk about sakura bringing down the house its a joke cuz we all know she didn't mean to bring down her house. Honestly, this was just a bad way for kishi to take sakura out for a lil bit.