You are absolutely correct. It's crucial to exercise caution when providing your credit card details to any platform or service, particularly online. There are some very basic precautions that you need to take, such as checking the SSL and security information, make sure that you trust the payment platform and do not pass the data directly to the site. Even being very careful is easy to fall for scams.
Why not just avoid putting your credit card on website that have not proven to be reliable and go for the trusted and reliable ones, you know they always say free things might purge you meaning you could get scammed to trying to claim those free bonuses that are involved in that particular site you want to link your card. Its better to take precaution that actually getting a result that might destroy you.
Yes indeed, better to keep yourself away from those possible hack or scam that might take place, unless you are willing to take the risk but still the logic here is if you are done doing your research and you trust the platform, without doing it staying away should be the first line of your protection, not providing private details will save your butt in any possiblity of getting scam or getting hack by someone who are just watching you without you knowing, someone who are waiting for you to make a mistake and grab that opportunities.