In my case, as a hard wallet user, I am more worried about safety than privacy, at least for my bitcoins, as I use them as a store of value and it is not necessarily a secret. A different thing would be my personal preferences when surfing the internet (that's the reason why I use VPN and even TOR sometimes) or buying (that's the reason why I usually use old good cash) but it is good to know this info, and I will research more and use Electrum instead of LL as much as I can because I am starting to change my mind:
In the end, as I understand it now, Bitcoin being pseudonymous should mean that your identity is disclosed when YOU want, but using this feature well is still one of the least understood points for non expert users.