I'm not defining liberties as privileges, I'm merely pointing out that your right to liberty ends where it infringes on somebody else's (and vice versa). Reasonable people can debate where exactly that line can be drawn and whose interests outweigh the other's (and this is what constitutional courts do on a daily basis). What I'm cautioning against is the narrative that just because it can be defined as "liberty" it must therefore be sacrosanct. This is doubly true for anything related to money, where most invocations of liberty on closer inspection just boil down to "don't tax the millionaires and billionaires".

"In pretty much every EU member state, you'll have to assume that random people on the street carry guns. Not everyone, not most, but some, none visibly. Would it make you more or less comfortable if the same number of people openly carried the same guns?"

You could search 10,000 random people going about their daily business in a major German city and with the exception of members of police and security services, you won't find a firearm. While a private gun ownership permit is reasonably simple to obtain, public open/concealed carry permits are not. And while criminal use of guns certainly exists, actual gun violence is so rare outside interactions between criminals that for any interaction with other members of society in public, the risk of a gun coming into it in any way is so small that in practice it can be ignored.

I've also travelled extensively in the EU and lived in several countries and I haven't seen a single firearm in public with the exception of members of police and security services (though I admit that armed private security services are not uncommon in some countries). Even if concealed carry were the main practice for private gun owners, I doubt that I wouldn't have spotted a gun at some point if it were at all common in a country (I've been in countries outside the EU where gun ownership is much more widespread and where I did see both open and concealed carry).