Are many people who call to buy websites at high prices liar companies?

If you don't have a website and receive these calls, you must be a liar.

If you have a website, but you don't publish any information about selling it, you may also be a liar.

If you have a website, it may be normal to publish sales information. I suggest you ask more questions, such as how they got your number, what does the other party do, what company (you can check it out) and so on.