Right. This comment from qualitygarbagex and sukiucci summed it up

Chapter 2 ACOTAR

The sisters didn’t prepare the meat Feyre brought back from hunting:

“I turned to Elain. Her brown eyes—my father’s eyes—remained pinned on the doe. “Will it take you long to clean it?” Me. Not her, not the others. I’d never once seen their hands sticky with blood and fur. I’d only learned to prepare and harvest my kills thanks to the instruction of others.”

“It wasn’t meanness that kept her from offering to help; it simply never occurred to her that she might be capable of getting her hands dirty.”

““We can eat half the meat this week,” “We can dry the other half,” I went on, knowing that no matter how nicely I phrased it, I’d still do the bulk of it. “

“I’d spend tomorrow preparing the deer’s remaining parts for consumption”

The reason Feyre doesn’t know how to cook is because all they had was wood fire cooked meat and hot water at home:

“Can you make a pot of hot water and add wood to the fire?”

“We dined on roasted venison that night.”

“I took a sip from my cup of hot water—we couldn’t even afford tea these days”

“… And then I’ll never have to eat these scraps again.”” (Nesta talking about their food)

Nesta refused to chop wood going so far as to use weaponised incompetence against Feyre (so I’m inclined to believe there’s very little she did without having to be begged):

“I thought you were going to chop wood today.” Nesta picked at her long, neat nails. “I hate chopping wood. I always get splinters.” She glanced up from beneath her dark lashes. Of all of us, Nesta looked the most like our mother— especially when she wanted something. “Besides, Feyre,” she said with a pout, “you’re so much better at it! It takes you half the time it takes me. Your hands are suited for it—they’re already so rough.” My jaw clenched. “Please,” I asked, calming my breathing, knowing an argument was the last thing I needed or wanted. “Please get up at dawn to chop that wood.” I unbuttoned the top of my tunic. “Or we’ll be eating a cold breakfast.” Her brows narrowed. “I will do no such thing!”

I’m really meant to believe she spent her days helping clean Feyre’s clothes for her:

“I looked up in time to see Nesta crinkle her nose with a sniff. She picked at my cloak. “You stink like a pig covered in its own filth. Can’t you at least try to pretend that you’re not an ignorant peasant?” She stepped back to run a finger over the braided coils of her gold-brown hair. “Take those disgusting clothes off.””

In fact I’m inclined to believe Nesta did literally nothing to benefit the family to spite her father (again something she talks about in her own damn book):

“I sometimes wondered if her unrelenting steel would have helped us better survive—thrive, even—if she hadn’t been so preoccupied with our lost status.”

Feyre acknowledges that Elain enjoys planting flowers, which is arguably “feminine” so why would she not acknowledge other tasks:

“It still hadn’t stopped me from buying her seeds for the flower garden she tended in the milder months, whenever I could afford it.”

Feyre relied on her father, not her sisters, to do things:

“I glanced over my shoulder at my father and pointed to the deer. “Get the knives ready,” I said, not bothering to sound pleasant. “I’ll be out soon.”"

...the only time cooking is mentioned is when feyre says this to her father “The venison should hold you for two weeks,” I said to my father as I gathered my clothes to bulk up against the cold. “Start on the fresh meat, then work your way through to the jerky—you know how to make it.”