Depends on 100 factors you didn't include.

We are six adults from three different generations. 2 hyperactive seniors that will keep doing things in the kitchen and make it dirty all the time, 2 young adults carrying “I know what I’m doing” personality, who are kind of aliens during day time, but very active in the kitchen during night time, and finally 2 of us - mid age crisis couple who can’t seem to manage either of these generations.

Sorry for the sarcasm, but yes, we are 6 adults and all are active. Cleaning and keeping things clean is a constant struggle for us.

Imagine, they washed their hands in the sink but instead of wiping it right away with the kitchen towel, they choose to walk to the other side of the room with their hands dripping. Or say, they spilled a curry on the floor, they’ll pretend as if some robot will come and auto-clean it for them.

To add more to the list, the seniors clean the dining table by doing a big stroke on the table, which will drop all the crumbs on the floor :(
Table will be clean, but the floor will be double messy.

We are also someone who don’t care to change our shoes if we sit in our backyard. We go around the house in the same pair of shoes we would be wearing on our driveway to living room to kitchen to backyard to mucky garden.

And lastly, only 10% of our house has tiles so we don’t have very deep experience with tiles. I do have issues with grout cleaning, but that is all I am aware of.

Our existing kitchen flooring was grandma’s vinyl. Bedrooms are old style narrow plank orange hardwood that we normally clean with vacuum cleaner and occasional mopping.

I wouldn't want tile in my home unless I lived at the beach because it is cold and hard on your feet. Everything will break if dropped on it. And can I emphasize hard on your feet if you stand to cook.

However you appear to be six people who are slobs who don't or won't take even the normal precautions that most people are willing to do.

I have engineered wood in my home everywhere except bathrooms and I was a bit nervous about having it in the kitchen. I am not the neatest person around but I take ordinary cautions.

Factory finishes tend to be very resilient. My floors have even not been damaged when there is a bit of an accident - I once didn't realize there was a slight leak from a bag and in the morning the slight bit of water didn't leave a spot of damage.

However I do take the normal precautions which your family seems to be unwilling to do - in your circumstances I would opt for tile because it is almost indestructible

I would make sure it is porcelain tile as that is stronger than ordinary ceramic tile so it won't chip as easily when abused and the color goes all the way through

Messy people are best suited to tile.

good quality Wood with thick wear layer is the best. We have had it with kids, kids roller thingys, i.e trykes, swimming pool=dripping wet on said floors (cause forgot towel) dogs, on and on.

Both can be beautiful. Both will have to be cleaned periodically. Wide plank European Oak in a light tone with a matte finish can work. Tending towards more rustic may blend in with your group lifestyle. A hardwax/oil coating or Danish soap coating can be easily spot repaired if anything happens.

French Oak or European Oak is shown from Monarch Plank. Link. Others offer finished product.

Rustic unfinished.

Prime unfinished. Both from Monarch.

European Oak doesn't have the open grain of N.A. White Oak. And it's not as yellow.

Hurst Hardwoods is another source. 10 1/4" x 3/4" European French Oak Unfinished (SQUARE EDGE) w/6mm Wear Layer | Hurst Hardwoods

What state do you live in?

Basement, crawls space or slab?

Tile could work well if you live in the south-east or south-west, but I wouldn't want it all over my main rooms if I lived in the north-east.

What style is the house?

You might get better suggestion if you post some photos.

I have owned 4 houses with hardwood floors throughout the house, except for bathrooms, laundry and mudroom. 3 of those were site finished oak and the current is engineered oak with a hard wax oil finish. All the houses had kids and/or dogs, but I keep a clean house.

By the OP’s own admission, they don’t give a sh*t about their surroundings or home. The suggestions by @dan1888 for ”Wide plank European Oak” and the like are not only unrealistic, and a waste of money, but also a crime against that beautiful wood that Mother Nature has created. Don’t install wood floors only to track mud in from the garden, spill water, and smear curry on it (their words).

They literally said they are unable and unwilling to keep things clean. So get TILE. End of Story.

A wood-look tile might work well for your family. The tile choice should really depend on the style of house and interior design. 24 x 48 tile could look very wrong in a traditional colonial style house.

I’d go with engineered wood. The best you can afford. It’s forgiving to the body while standing. It’s forgiving for plates and glassware that’s dropped on it. Plus, I think it’s easier to care for than tile. I hate grout. I’ve had it all in my various kitchens: site finished hardwoods, medium grade engineered, tile, vinyl. The wood wins in my experience.