I haven't used the website for some time but I believe that has always been a thing with the web app. Have you tried using the desktop app instead to see if you have the same behavior? It should keep you logged but if you ever log out, you will be asked to re-enter your credentials (including 2FA).
I use Firefox browser and did not use Binance desktop app or download it on my phone.
The reason may be because they don't detect any cookies from your browser that is why they always send you "Authorization of new device".
I always encounter this same issue whenever I open it using my Google chrome browser with VPN using my laptop while I don't have any problem when I'm browsing using my office desktop without VPN.
I just received an email and I authorized the new device. Not a problem for me, and I see no downside in this security step, which is quite common among exchanges.
Did you do anything with the cookies or other browser privacy settings? I think this might happen if you e.g. delete cookies or use private/incognito window.
I always delete cookies and all data from previous sessions. In the past, I was asked to verify my 2FA code.
AFAIK Binance uses browser details and IP address to identify the user. Verification of a new device has not been requested even though I always delete cookies.
Generally, I tried to log out and log in without deleting cookies, and email verification/new device was requested.
Have you tried to check your account's activity log and see if there was any unusual activity in the past few days?
You could also opt using apps both mobile and PC trading terminals that won't give you a lot of headache like the web site.
Yes, there is nothing new or abnormal, the same previous data.