The NFC tag built into your card follows the ISO 14444 standard. (Wikipedia: ISO/IEC 14443 - Wikipedia)
I do not have great knowledge on how these payments work exactly, but as far as I do know, credit or debit cards do not store the CVV in the NFC chip in them and hence, it cannot be read. I used a few apps I found Playstore to see what I could read from my debit card and I found that the card stores the number of transaction it has made using NFC, the card number, the date that the card will expire on, and the card type i.e., Debit/Credit/Prepaid. I could not find the issuing bank in the data I managed to read and I believe that the merchants POS system will find that using the BIN.
Speaking about the potential for abuse, I dont think you can copy these cards and replay the data to make a payment as the data stored on the card is slightly changed after every payment and communicates with the issuing bank for every payment along with the time it was last used and some type of key.
I recommend watching this video by great scott on NFC payments:
Additionally, I don’t think you can do much even if you collect the raw data on the card for the reasons I mentioned above. Apps like Samsung pay which allow you to make NFC payments with your phone probably have an agreement with your bank which is why not every card can be used with the app.
Again, I am not an expert and I may be wrong, so please do not consider what I said to be accurate.