Truth be told, the story is far from legit reality, but other legit once make such mistakes as well.
Even as i agree that it is not safe to store such fortune in one wallet and still use the wallet to interact, i also know some links are designed to access a particular software or website, so you may have other wallets that you use for interactions but since the link is designed for a particular wallet, once clicked it automatically has access to that particular app/software/site that it is designed for (most especially for saved login details or remember me situations ).
Before you click on a strange link maybe for any kind of purported benefit, try to be sure all your valued wallets are not automatically connected and are secured.
It is better to avoid clicking strange links.
avoid risking your fortune.
it is even risky to link or communicate between interaction wallets and valued wallets