iPhone not detecting NFC tag

I want to be able to open a link on my phone using an NFC tag. I brought some Timeskey NFC tags to do some tests. On Android, I have no issue using NFC tools app I can read and write, on iPhone 12 nothing works. First I tried with an empty tag using NFC tools and my iPhone never detects the tag to read or write. Then I updated the tag to open a link but nothing happens, I tried with the phone locked and unlocked. Then I tried with an iPhone 13 and I have the exact same issue, I read some posts but on those phones seems that the NFC can not be disabled, the service is always listening. I contacted the NFC tag vendor, and they ensure me the tag is working with iPhone, but you know this is this typical product coming from a Chinese factory and no one know how it works in details. The tag type is ISO 14443-3A. I can not find any information on the Internet to know if there are only some tags compatible with iPhone or if there is some kind of special encoding for iPhone.