If you find they are in the way ...just remove them

I don't know if they are in style. I am only five feet tall and have no problem reaching the pot rack in my kitchen. In most cases, the height of a pot rack can be adjusted. Pot racks are very useful. The pots are visible and easy to grab without sorting through a stack of pots in a cabinet. If you are worried about hanging pots accumulating dust, just give them a quick rinse before using.

If it is set up in the way that this picture shows I wouldn't think it would be a problem. We have a very small kitchen, and the extra space made available by a set up like this one would be welcome.
Our house had hanging pot racks, but they were set up in the middle of the walk way and our ceilings are low, so we had them removed.
The best part about home ownership is you can make changes as you go

Leaving any cooking vessel out 24/7 leads to them becoming dusty. The dust turns to greasy grime over time so I'd get rid of the hanging pot rack if it was my house. Put a nice chandy over the island.

I am not living in the house yet, the previous owners are renting back. Sorry I don't know any details about anything in the kitchen.

Thanking you for your response. If you ever find out, let me know.

I have lived with a pot rack in all my houses and loved them. Guests would always compliment on them, and say how homey and wonderful they made my kitchens look. I am now remodeling a kitchen and going through the same question of should I keep them. I added very large kitchen windows in the remodel and am wondering what was the point of opening up that great view and then putting up a pot rack which will block it from some angles in the kitchen? Have not decided my answer.

That said, don't not do the pot racks out of fear of dirt or dust. I never experienced that problem. We use and wash the pots way too much to have any dust problem. And if grease dirt is heavy enough to coat pots far away from the stove on the pot rack, then a kitchen has bigger problems. Time to figure out if the stove vent is really working!

Use longer chains to bring them down to where you can reach the pots or remove them if they block the visual appeal of the kitchen.

They look awfully high for 5’4” person. My concern would be dust and grease on the ones you don’t use constantly.

I was just reading today that of racks are out of style but the again who cares if you like them . In this case I would remove the one over the island as two seems to be a bit to much . It seems there's enough cabinet space to store them.
It occurs to me that the dust issue depends on how frequent a cook you are.

I like the comment from 2015 that the pots would get all greasy-grimy and dusty, and that the one over the island should be taken down and replaced with a chandelier.

Wouldn't the chandelier then get greasy-grimy and dusty?

I'm pretty sure that my pots and pans get cleaned a lot more often than my light fixtures...

I’d be rid of the left-hand one. While kitchens are more about function than form, it looks odd, like two competing focal points. On that note, as regards the remaining one, you’ll want matching cookware. It will look like a dog’s breakfast if you have, say, some copper, some stainless steel, some cast iron, etc.

I’d move in and live with it for awhile. To me seems like those work surfaces below the racks would be dark which would be a deal killer for me. I second the recommendation to remove one for sure.

One of the advantages of a wall-mount pot rack (to me) is that the shadow cast isn't that bad, since the can light is more to the front of the counter. The light then shines directly down on the front plus angles (waving hands here trying to describe) under the pans toward the back.

At any rate, I never had lighting issues with a wall-mount.

I wonder what the OP decided since this is from 4 years ago.