The question if a WiFi owner can see what sites you visit while having incognito browsing mode on is quite extensive as multiple factors would be involved in it. Your WiFi owner can see what sites are being visited while you are using incognito.
Most people are concerned about hiding their website browsing history from any other people. To understand the question better and to get a viable answer, you must understand what incognito mode is, how it works and what purposes you can use it for
What is the Incognito mode?
Incognito mode is a built-in feature in every browser that allows you to browse the internet without keeping any logs of your websites visited. If you enable incognito mode on the browser, the browser will not save any of the browsing history, cookies, or website data or even the information that you enter like your emails and passwords or any other auto-fill data.
The mode is optimal if you are using a public computer or have borrowed a computer that you want to use for a few times and not leave any records of your browsing on it.
Incognito mode is highly efficient for all sorts of purposes that you might want to hide your tracking information for. Although, it is not entirely safe and the information such as your browsing history, websites that you are visiting and other details will only be not stored on the computer.
Otherwise, your network administrator such as your school/employer or ISP can access all that data on their servers. The problem is that when you are using a certain website, the incognito mode only eliminates the data and history being saved on the computer and you still might be having chances of information getting tracked.
How can a WIFI owner see websites you visit while Incognito?
There are two chances that either your WIFI is directly operated by an ISP and you are using it, or there is a WiFi administrator that might be able to see your browsing history.
There are different types of network protocols and we are going to explain each network protocol and structure in detail so you can get a better idea for yourself if the WiFi owner of your network is able to see your visited sites or not.
Office or School Network:
Most offices and schools have set up their own servers as they have a relatively high number of users and they need to manage their network more efficiently. If your office/school network has a network administrator access and they have set those parameters to monitor security and traffic on their network.
They will definitely be able to see what websites are being visited on their network no matter if you are using the incognito mode on your browser or not. The administrator is able to see any traffic over their network with logging in the admin panel.
Most public networks like restaurants or parks also have an administrator that is being able to see the websites you are browsing on their network. They have access to the admin portal that enables them to see all the network traffic and bandwidth being used on the network and they have options enabled to control them as well.
Most home networks are not given such admin controls by their ISP as they are not needed for a consumer-based network. If you are connected to one such network the, WiFi owner or the primary user who has set the WiFi up will not be able to see the websites you are browsing even if you are not using incognito browsing. Domestic routes are not designed in the way to monitor any sort of website traffic on your network.
However, the original ISP will still be able to see the website traffic on that particular connection and every site you are browsing, even if you are using Incognito mode to browse the internet. If you still want the ISP to not being able to see the browsing history and websites you are visiting, you need to use a VPN service that will mask your IP and have secure internet experience.