Yes, you can lose your Bitcoin if you are too hasty in responding, this is definitely not only happening to Trezor as a cold wallet, other cold wallets must also get the same attack and try to trick all of us who have it.
If you are not careful, it is not only the right of the cold wallet but any wallet can make us lose bitcoin for some reason so you need to know the exact steps so that this problem does not happen to us. Various methods are used by irresponsible people and if the understanding of bitcoin holders is not good, it is easier to infiltrate.
So if you get any email from any party asking for a code or seed phrase from you, never share it, be it from a cold wallet or Hot wallet issuing company, beginners who enter this industry are much more easily fooled, so I suggest you be careful.
Although I have never experienced this case, the method used seems to be common on several social media. Phishing attacks that rely on sending codes to emails are the weakest fraud attempts and are generally easy for perpetrators to do because they sometimes have minimal knowledge about security measures for users. This is a lesson especially for beginners, so that if fraud occurs with a concept like this, they already have an idea of what to do.