Cold wallets, also known as hardware wallets, are generally a better option for saving crypto. They can’t be hacked and are like lockers.
It is wrong to call any wallet a
"cold wallet" if that wallet connects to the internet at some point as is the case with the hardware wallets most used. Such devices have so far shown that they are relatively secure and are a much better choice than desktop, mobile or online wallets, but they also have some problems in the form of data leakage of their users, or vulnerabilities that can be exploited in a specific situation.
Vulnerabilities that have been found in the past and those that are likely to be found in the future are something that tells us that we should always be on the lookout for whatever crypto wallet we use.